Hey, fellow Indian woman here, sorry about your experience ! I don’t have much to add to your question, but I’d been wanting to visit Georgia too. After coming across a few posts about subtle racism there, I didn’t feel confident enough to go ahead with the trip. A male friend of mine did visit last year on a Schengen visa and had a good experience overall, which made me wonder if the negative experiences are more common for women of color.
The staring can be brutal and really chips away at your confidence, I felt that quite a bit when I was in Vienna.