I don't think there is anything you can do legally based on her threat to possibly write this report.  The landlord has an obligation to do whatever is necessary to keep your unit in a fit and habitable condition, which includes pest control.  It sounds like they are doing that.  Likewise, you as a tenant in Arizona have an obligation to keep your unit as clean and safe as the condition of premises permits, and dispose of all rubbish and other waste in a clean and safe manner.  (ARS 33-1341).  If your unit is not excessively cluttered, I would document that by taking pictures of how nice and clean it is.  Also, gather testimony (affidavits) from people who can vouch for the fact that your unit doesn't have a bad cat smell.  That way if she tries to evict you, you will be ready.