Can a married daughter take home loan for gifting a property to her mother?

You can gift by taking a loan from other bank. Try at Another scheduled bank.

No public institution can have such a norm discriminating against the daughter just because she is married.

If you want to gift a house property to your mother then it should be on your name.

You cannot get the property registered on your mother's name while the housing loan would be on your name.

The question is not whether you are married or unmarried, but it is the question of buyng the property on whose name, because if the property is on yor mother's name, then you cannot  pledge this property as collateral secutiy for the mortgage housing loan.

First ascertain the facts and the situation and then proceed as desired.

Purchase the house taking loan(s), clear encumbrance and gift it to anyone including your mother.

Let your mother borrow the amount and you stand as guarantor in the bank. Then keep depositing the installments. 

I think this is possible, the borrower is your mother and you will be the guarantor and pay the debt.

by the way, you can play duck life to relax.