I'd say, "Она решила установить новые правила в моем доме." I'm not sure if "Она решила ввести новые правила в моем доме" is quite OK. I think authorities and organizations "вводят правила", not people.

alex ввести introduce установить set I think, you mean the latter. "ввести" emphasizes 1)_addition_, 2) noveltly and 3) the very moment of change. It would be natiral if she said: "Давай введём такое правило:..." (possibly there is already a set of rules to which we can/may add this one... a new one). And no. You can 'ввести' an abstract notion like a rule 'в обиход' (which is an abstract notion). But you can't ввести it в дом. It makes you think of taking the rule by the arm and leading it from the 'outdoors' to 'indoors':))) So ввести правило в домЕ (which can be undestood two ways: "the rule is applicable within your house". Or as "the house is the scene where this event (intrduction) happened")

yes absolutely. She decided to set new rules... but it really sounds like if she had a right to do it.

Она хотела ввести новые правила в моём доме - that's correct. It makes sense. Means someone (she) wanted to set up her own rules in your home (or your life). ... в мой дом - that is incorrect because the rules are something that you can not move physically.

в моем доме.