To answer the subject title, YES she can love u and dislike ur family, but NO she can not respect u and dislike ur family.
I would never advice anybody to bring their inlaws into their home, bcos it can cause many issues and fights.
Ur wife probably wants to b d ONLY woman in ur life, and not liking the respect/love/care u have for ur mum. Am happy u didn take an app
for ur mom, and decided to let her stay bcos she also wud neva kick her son outa d house.
If i were u, i wud sit my wife down and demand apology towards my mother and make sure they are ok together bfor she leaves....
As for ur wife, keep a close eye on her, bcos when a woman can not take gud care of her home (cookin, cleaning as u mentioned) and she insults ur
family, she is probably capable of more........................
U have summarized it