Any type of flame based cooking or heating should be avoided.
...
In theory electric heating or cooking could be used, but it is most unlikely that you will have utility service. Do not rely on a generator.
No fire, no electricity, no generator. This would require a radically different preparation for food. For example, all the freeze dry stuff is out. You basically need to go all ready-to-eat: be it canned beans or MREs. Are there options I'm missing?
If your area suffers from a Sidney heat wave (47 C ~= 117 F), and you're stuck inside a sealed house, then your health may be in danger. But I guess that's kind of like worrying about getting robbed while trying to survive a nuclear fallout. I mean, if a nuclear bomb went off not far from you, you're having a really bad time already.