I think this game has some interesting potential. The movement feels good and the ideas are there! You’re description stated up front there was an issue with the “hot” projectiles, so I was aware of that going in and not counting that as an issue. However here’s a few thoughts to the mechanic…
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The hot/cold mechanic shouldn’t be present to the degree it was in the tutorial level. It was quite distracting for me to have to move… or not… while trying to read the tutorial text. If I hadn’t already read the basic game rules off the game’s page, I’m not sure I would have retained any of that information while having my attention taken away by having to deal with the hot/cold mechanic.
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The rate at which the player transitions from hot to cold feels VERY fast. I think the game would be a lot easier to get into if that was adjusted to give some more time. I think the speed wouldn’t be an issue if it was a difficulty option, or, if the rate of change shrank as the player progressed from level to level, ramping up the difficulty (and, likewise, simulating the progression of the player’s “illness”), but at the very beginning, as players are just getting to grips with the game, it’s too fast, in my humble opinion.
All that said, ultimately, a few tweaks here and there, an adjustment to the hot/cold mechanic, and getting those “hot” projectiles to fire, and I think you have the start to a good roguelike :)