I really enjoy this game as a little thing to do. It feels like it would fit perfectly as a minigame into another project like a virtual pet game maybe *wink wink*.
The art style is very nice and makes me feel safe and cozy. The audio is a little loud I think and seems a little strange when compared to the concept.
Also, the dual bar system you have feels a little strange and doesn't quite explain the goal and mechanic of the game super well. I'd look at that and think about how to convey the "pet for a while but not too long" concept to the player. Maybe the bunny could emanate a stream of hearts while being pet but they slowly stop and change to skulls to show that the bunny is getting tired of being pet.