if after 1 mo she does not fix it [heating included] you must
hire a GC electrician and pay him/her. then, you take that
amount of what you pay in the next mo rent–and give a copy of the
paid repair invoice.

NO, put it in writing to LL and request they send an electrician within 2 weeks to remedy problem, noting that it has been X weeks since you first notified her of problem from the storm. Be polite, but firm, that this was caused by storm and is her responsibility to fix under your lease.