Is it possible that your MIL came across some bad incident and hence is wary? or as the others suggested, it could be that she is very orthodox, and wants you and your daughter away from him.
next time she rebukes, ask her what is wrong in you being close to him the way you are to your own father, and what is wrong in your daughter being close to him? speak to your husband also about this as well as to your FIL, and tell them this is what your MIL says, and make sure you say this in front of her. Don't be accusatory but ask her whats the issue.
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