I have a bit of an update: There doesn't appear to be any such thing as a dating site that's only for women, but I found something fairly close called Her, which is a mostly-female dating site, and it's a little more promising than the other dating services I've tried so far. It's got some issues too though.
Oh trust me. Every dating app/site comes with its own issues. That's awesome you are giving it a go though! I actually met my SO through grindr about 5 and a half years ago and we've been happy since. :)