Without reading other responses, this is my opinion.
If there is no attraction, there's no attraction. Attraction just isn't about physical appearance...but there's something about that person that draws you to them. Maybe it's the way they seek after God's heart, maybe it's the way they treat others, maybe it's the way they make you laugh, etc. For example, I have a male friend who's extremely attractive (Haha, sorry. Just saying). When him and I first met, we did get along really well. So, we tried going on a date. Let's just say, there was nothing more than physical attraction between us. We goofed around, we got along, and we were physically attracted to each other, but....nothing came from it. We didn't just sit there and force it to happen, we just let it go and moved on as friends.
Romance isn't for every woman you meet. Don't awaken love when it's not ready to be awaken. Song of Solomon 2:7. People tend to push the envelope. "Oh, but we get along SO well! We have all these things in common. They're attractive. I'm attracive. I mean, c'mon. Match made in heaven." Nope. Sometimes, you walk away with just a really good friendship. Mark (the guy I mentioned earlier) and I are really close. We had all these similaries, and we love goofing around but yet, having seroous conversations. And we walked away, having a really good friendship! I aboslutely love the fact he's in my life.
It is important to know how to treat the opposite gender and how to build a healthy friendship with them, even if there are no romantic feelings. It is good to ask yourself, "Why am I talking to this woman like this? Do I have feelings for her? Do I see her just as a friend?" Check the motives and that affections of your heart. Examine why you're talking to her. Are you hoping to have a relationship with her just because you're lonely? Love when you're ready, not when you're lonely.
I hope this explains what my heart is trying to convey....