First of all we should distinguish between religion -spiritually speaking- and religion as an institution. The first one is purely individual and does not take direct actions in the collective community life, it’s the last one that concern us.
An institution implies power and a purpose serving the power owners behind each action whatever the front purpose (good or bad) is, which is of course also the case of religious institutions. Also, it is commonly known that all the sacred books have been written & religious institution founded at a time when the power of decision was owned by men while women’s rights were inexistent.
Religious institutions kept the women in a very degraded position over the centuries. For example, in Monotheist Religions, women are the main cause for putting out the whole humanity from heaven. About inheritance in Islam, men gets the double than women. Yes, it was in a time when the men were in charge, but what about now ?
So, this is why you can’t be a feminist defending women’s rights and be a religious among a religious institution. Unless, you’re suffering from schizophrenia.
Religious institutions can be accepted in the feminism world only if they make progress by adapting their values system with the present society model. As for the example of the inheritance in Islam, women now are a pillar in the financial matters in the family.
However, if we talk about religion from the spiritual side that implies respect, a continuous self questioning and improvement for ourselves and everything around us where “there is no need for temples” (Dalai Lama), so yes you can be religious and a feminist at the same time.
But actually, no religion & no one gives someone his rights. We have to work -not to fight- for our rights, and it’s only then that law guarantee it & society respect it.