It's also possible she is just not ready is afraid and may not even be able to acknowledge to herself that this might be something. She might need for you to let things go on as they have been to give her time to process it, and if you make a big thing out of it, you might scare her off.
But I also will state a negative possibility... she might just like hanging with you, maybe enjoying your activities together, and really not be interested in anything more. Maybe she is waiting for someone else to come along.
I am like you in that I tend to feel rejection very deeply, so I worried about stating that second possibility because I did not want to give you reason to treat her differently thereby pushing her away and ruining things if in fact the first possibility was true. But I also thought if it were true, then you might prepare for that and be less hurt.
Tread carefully, take your time, don't jump to conclusions and don't do anything permanent until you are sure.
Ain't love grand?