Cool idea! I really like it. Some notes from my end:
There is a lot of dialogue in the beginning, it might be best to keep it short until the player has time to invest in the story. Shorter is always sweeter!
Sometimes I need to make the move to the same tile if I just want to attack, it would be good if the game could intuit that I don't want to move and just want to attack.
Otherwise, the idea of different bodies of different temperatures engaging in exchanging and displacing heat as a combat mechanic is really really awesome!