It sounds like you have a good handle on social skills and are doing a very good job at adjusting and meeting new people. I bet you have more friends than you realize and I bet a lot of the girls you know feel exactly as you do. I always say this to students but I’ll say it again - I feel bad for your generation because I think technology has made it harder for students to connect in person. It keeps people isolated. (but that’s another discussion for another day)
The only other thing I can think of is to consider rushing this semester. Greek seems to have changed a lot over the years (not just about parties and being exclusive) and it seems at most schools there are all different types of houses with a sorority that could be just your fit.
I don’t know if you attend church but sometimes going to a local church on Sundays and getting to know some people there can give you a feeling of home and connections that bridges some gaps although it may not be the peer gal pals your are seeking (just an addition to your week).
In the meantime just keep smiling when you see people, keep being friendly, stay positive when you converse with others and I always tell my own children to be a good friend to others. Offer to help when needed, lend a listening ear and in general extend yourself to others.
College is an adjustment which leads into the second semester too. It sounds like you have done a very good job with getting started and I’m sure your second semester will be even better. One last thought - keep your eyes alert for transfer students this semester. There are sure to be some who will also be looking to make friends and connections. Imagine being new starting in January? I think that would be rough.
Take care and good job!