I like
Corin and
Cory! They could be unisex, but I just see them more as male names.
Even so, I think it's reasonable to nickname a
Corrine Corrie,
Cori,
Cory or however she likes it spelled. It sounds exactly like
Corey depending on where you're from. So I don't really mind.
Name These Characters 4 (ongoing)
https://www.behindthename.com/bb/game/5345395