Is the wife's request for no strange woman to enter her house in her absence - in exchange for her apology for not attending a family gathering - considered an insult to the husband?

You do not have the right to object to the entry into your home of someone your husband has permitted, unless it results in a religiously forbidden act. However, you do have the right to request that a non-mahram woman not be privy to your private matters. Your request for an apology for attending a gathering so that this woman can enter the house in your presence is not considered an insult to your husband. We advise both of you not to allow Satan to corrupt your marital relationship.