What rights does a wife have if husband names his mother as his finance power of Attnory
You didn't tell us any details about the purpose of the POA, but people can generally handle their own financial decisions as they please.
None. Your husband can do as he pleases with his finances. Your remedies are to live with those choices or to seek a divorce.
None. However, you need to monitor accounts closely to make sure you know where money is going and consider keeping separate accounts. I would question his reasoning for naming his mother to take care of his finances rather than his wife.