I'm currently single, but I've dated recently and in the past. A lot of girls have said my stutter was "cute" (hearing this felt more demeaning than positive, even though they meant it to be something positive). I've never met a girl who had a problem with my stutter; most have been quite understanding, asking if I want them to finish words for me if they know what I'm saying, etc. The biggest thing to attracting a woman is self-confidence. The way I've become more confident while having a moderate, block stutter is putting myself into uncomfortable speaking positions as much as possible (not ignoring phone calls anymore, speaking to strangers whenever possible, going through drive-thrus, etc). Eventually, I was forced to simply accept that I stutter and it won't magically go away. Speech therapy helped a bit, and cognitive behavioral therapy is helping even more, but the most improvement I saw in my speech was working a fast food job for 6 months. Confronting my stutter every day in a stressful environment made me just accept it and focus on my job, and as a result, I stutter less often now. With all that being said, the same process of forcing yourself to speak in stressful environments can apply to approaching women. Even if you get rejected, you have to keep congratulating yourself for facing a stressful speaking situation head-on, and as a result, your self-confidence will increase.