I started what I thought would be a relatively simple bathroom tile repair job and ran into a challenge. After removing a tile towel bar from the wall I was left with 2 ugly patches which forced me to think about replacing the tiles completely (only the ones where the towel bar was attached). Where the towel bar was attached I assume was an adhesive of some sort, but after getting the tile off of the wall it appears to be a piece of stone.

I am completely stumped on how to move forward. I wont be able to get the replacement tile to lay flat with this piece in the way. Any advice would be great!