Their faith tells them not to accept facts that contradict the truths of their god.

Good luck with that.

I sure do and I say NO. Do not go there. I married a Catholic woman who was very liberal and not religious. She also doubted evolution, After the kids came she was a raving religious idiot. The kids had to baptised catholic and attend catholic school.
The point is something so simply put as evolution, it is real. It is NOT a theory, it is a scientific theorem. It is a hypothesis with 99% accuracy. To not accept this as real is like believing FOX news,

Richard Dawkins on the theory of gravity seems to always be the best go-to example. "If you doubt it, you're free to jump out of a 10 story window and see what happens."

If you're interested, Peter Boghossian has a book that deals with that very subject-how to discuss/debate with believers. It's very effective. He also has YouTube videos that show role plays on discussions. PB also developed an app that guides people through effective conversations.

One of many reasons I simply refused to date religious people anymore.

does she put out?

Refer her to the Pope's thoughts on the subject, he believes in evolution. Only in America is there any real traction for Creationism, the rest of the Christian world, except for the rare fundamentalists, Jehovah's Witnesses and such, gave that up a long time ago.

It's possible over time she can get through her cognitive dissonance. That is if she is a reasonable and otherwise open minded person. I think of long held beliefs I've had that were wrong, it took me time to process and assimilate a new belief.

My question for you is that could you be with someone who believes that Creationism is the truth? If you like her and don't mind tolerating it, I say keep the peace and do not provoke her religious convictions. People will advise her to let you go.

She may have built up a theological system around her religious beliefs, and challenging Creationism is not a simple conversation on Creationsim vs. Evolution, but really challenging her stance on if her religious beliefs are a scam or not.

That would like be asking if ghosts exist, or if people can be possessed by spirits\demons\devils. It's gonna open up a whole bunch of questions which will get bigger than the original question.

In my experience you can talk and talk to believers about the philosophy of science, how hypotheses remains speculation until there is supporting evidence, that theory really means "fact" in a certain sense. You can describe homologous bone structures, vestigial remnants, fossil records, radioactive decay, genetics, and on and on. It just goes over their heads. They are not interested in changing their minds.

Any decent relationship has to be based on mutual respect. Instead of telling her what you think, why not ask her what she thinks and why she believes what she does? Listen respectfully and keep asking until you feel you really understand her position. Then decide in your own time if you can respect that.

A scientific theory explains why a phenomenon occurs AND can be repeatedly tested to produce the same result.

Ask her to use theory to explain something from her religion.

Discernment is the key. Does she focus on the dogma of religion? Personally, faith in a "supreme being is not that objectionable to me. It's the silly interpretations of the rules one must live by to belong to that religion that drive us crazy. If she is a "liberal christian" and has numerous likeable traits. Continue the discussion.
I have a science degree but "theory" has levels of truth. I accept evolution but is it absolute truth? I stick to the definition of absolute truth as, a theory that has been validated by recreating in the study the same results. I don't accept the "big bang" theory on another scientific idea, stated simply, matter can't come to existance from a void. Matter is never destroyed just change form. If one doubts a singular theory then other doubt is warranted.
I'm waiting for a logical reason why this all began. Otherwise, I'll hold onto my 0.1% openness to a "god", ancient alien, intradimensional being, ect...having something to do with creation.

Unless she is a supermodel millionaire who owns a chain of breweries..... why are you dating this thicko?

That too me it would be like me dating a Trump woman. She may be nice but really is missing a few items upstairs. The "core" of a person is can we trust you to believe the truth, such as when you say you did not or did do something, it is the truth. And of course I mean no lying on your part. For her the truth is not part of the core, she is not questioning the real core items of life.
Fake news, fake numbers and some believe this junk

Why evolution is true by Jerry Coyne

My experience was that after a long discussion where I laid out all my points articulately, persuasively, convincingly, incontrovertibly, lucidly, we never saw each other again. Lol

Be careful. If she is a "true believer" her belief in religious dogma forms the core of her whole personality and mindset. If that is the case, she will never be onvinced about evolution.

If she is a true believer, are you really sure that you an deal with this for the rest of your life?

For me, it is the difference between science and metaphysics.

Scientific theory is based on empirical, testable data. Evolution is like this.

Metaphysics uses faith other untestable logic.

Creationism is a perfectly valid metaphysics theory. There is no way to test it empirically, though.

Grand Canyon show her the layers and ask her if God built the earth in layers and layers like making a wax candle, in one day? And how does she think the age is brought into those layers? How their age is building up from deep down the Colorado River up to the highest level? Just an idea.

A creationism theory is base on stories, myth, legends and very weak historical facts. I think most Christians threw out the concept of hell because they did not think it was nice. Even though JESUS speaks about hell as much as heaven.

A Christian prepared their whole life to go to heaven, (a theory) Why? even the Pope says hell dose not exist, what is there to loose now.

She may not have a clear understanding of what a theory truly is..

Any person who believes a dead man is going to return from the heavens and save us all should have no problem contemplating the supernatural.

You have "christian" + "woman", but you are fixating on a small event in the "christian" part, for starters.

Anyway, if you're going to have the argument with her, then have it.