I wanted to think on this a bit before I answered..just some personal observations, as that's really all any of us have to go on...I want to choose my words carefully, but I want to be brutally honest as to how I feel about this, as it is a huge deal..
Ungodly men, and maybe most ungodly women, make their choices in men/woman on this basis. I don't want to use the word "relationships", because, for the most part, it's not relationships they are looking for. Let's just be honest. They want sex. Period. And they are willing to compromise on the relationship aspect as long as the sex is great and they have their arm candy in tow. Very few guys take the time to get to know me before hitting on me, so it would be difficult for me to draw a different conclusion.
Most christian guys are a little better, but not many in my experience. A couple of month ago a guy I really respected, one of the most godly men I know, not knowing I was a widow, commented on a pic of mine on FB and asked me privately how a guy could ever walk away from a woman who looks like me. I'm sure he meant it as a compliment, but I was very surprised and disappointed by that. When you find a guy who IS different, and especially a guy who is strong enough to say no to you, you've found a treasure indeed.
Many non-christian women are not a whole lot different. They compromise, but it's probably not as much for the sex as for the arm candy they can show off to their friends...and then whine about what a jerk the guy was to the same friends down the road.
Christian woman are probably the least likely to have attraction be a key factor in our dating choices because, frankly, we don't date much after awhile.
We don't want to date non-christian guys and it often seems like christian guys are too hesitant to approach us.
Hopefully, the reason it's not as high a priority for christian men/women is that through their relationship with Christ they understand the relationships they have with the opposite sex are to be quite different than those of the world, so they tend to step back and take other factors into consideration that they may not have otherwise.
I've made comments about celebs, but it's not just the way George Clooney looks that gets my attention. It's his sense of humor, ability to mock himself, the passion he has for humanity, his sense of justice and the hint of mischief behind his smile and eyes. He's been burned a time or two, so he's not interested in getting married...I can almost appreciate that too.
And Peyton Manning won't win any beauty contests, but he's a GENTLEMAN with a great sense of humor, humility and strong family/community values.
The guys I've really fallen for were guys most people would pass on the street and never notice. But if they knew the hearts, strength, compassion, fortitude, honor, passion and personal integrity of those guys, they would not have. Those guys know how to treat a lady and what a woman needs in every way.
As for the sexual component of the thing, I have only this to say about that... I read a post on someone's FB page a couple of days ago about what a woman truly wants and needs, and it was honestly one of the sexiest things I've ever seen (and was entirely G rated). Had that same guy put up a shirtless pic of himself with tanned, amazing abs, I probably would have thought for a sec...hmm..nice..and kept scrolling, but that pic wouldn't be burned in my brain like that post is.