My husband and I both practices different religion but we made it clear that we will not influence each other. Recently, my MIL wants my kid to be involve in their religious ritual which I am not keen for my daughter to. How can I reject her without offending or hurting my MIL? (as a respect, not mentioning any of the religion)

I understand, Wendy, religion can be a tricky issue, specially when it involves kids. If you are not keen that your MIL impose her religious preferences on your child, you must talk it out with her. It would also be a good idea to involve your husband in the discussion. There is a good chance that he will be able to convince his mother in a better way.