From experience, only very few people are put off by it. My stutter is quite bad, not terrible but definitely very noticeable. I've only ever had one first date where it didn't lead to at least another date and have had two 2+ year relationships before I was 20. I'm not a looker either by any standards. Its just about confidence. If you like somebody just ask them out. If they say no, find somebody else. The worst thing you can do is be awkward about your stutter. Just act natural and be comfortable and your date will be too