I would say that there is no base answer, I've had some work out well and others not. as a rule I lean away from the spiritual just because I don't like the disappointment when they realize they can convince me, also I feel a little bad when they realize there is no evidence for any gods and I was the one who took there entire world view and shook it up.

The very nature of their religion tells them to rescue you and straighten you out. If your bio says you are agnostic everyone in church knows that you haven't got a clue about god, or that you just haven't found the right god yet. Yes, agnostics and atheists need to be fixed and evangelized. The believer thinks they just need to be straightened out.

Yep. I always post, don't try to evangelize me. Still, they want to. It sucks. All I want is for someone to accept me as I am and someone to accept as he is. Seems I ask too much and get nothing.

These ladies sound like, “Broken wing menders.” They think they can “fix” you if they nurture and care for you enough. I’ve had my share of men who were the same. They thought I was broken from previous unhealthy relationships and all I needed was a “good man to show me the way.” Once I made it perfectly clear that I didn’t need to be fixed, things never worked out.

I'm dating someone who is a Jehovah's Witness and before her, I dated a Baptist Christian and before that one, I dated a nondenominational Christian. None of them cared that I didn't believe. The Jehovahs Witness says she believes because it makes her feel better about the loss of her sister and it gives her hope that she can apologize to her. I'm fine with that as long as she keeps her beliefs out of our relationship.

You may be viewed as easy to convert,"Putty in their hands".Why do Women want to change a Man? Maybe into their fathers image and habits?

Distrust or dislike of atheism or agnosticism is learned behavior, you have to think through why you don't like someone using that as a basis. Dating and courtship, on the other hand, are heavily influenced by raw animal magnetism, which you clearly possess in quantity.

To identify yourself as "Agnostic" specifically identifies you as not being sure about religion. Many (most?) Christians are going to see that as an open invitation to "show you the light of Jesus". I agree with the suggestion that these religious women who want to meet you assume they can convert you and when you appear to be a hard sell they bail. Even if you are on the fence in this regard you might want to try identifying yourself as Atheist which will probably turn off a lot of women but those that respond would seem to be much better candidates.

Ha! Maybe to them, being agnostic is not as bad as claiming atheism. It leaves some wiggle room for possible conversion. Christians have always been big on conversion!

The meaning, to them, is that you are on the fence and it really doesn't matter. I lived with a woman for 12 years. She was agnostic and I Catholic. It really didn't matter. I did not push my beliefs on her and she even went to mass a couple of times because she liked the ceremony. We broke up when I left religion and became very vocal about environmental issues (and she relapsed with her drinking).
I too have been contacted by women who were religious (i have since left dating sites). Finally, I added atheist to my profile and when a religious person contacted me I told them our different belief systems would make this a no-go. One has to be proactive from the start.