I've been googling trying to build an argument as to why she can't smoke around DD, but I can't find anything. All I can find is secondhand smoke effects on unborn bubs.
I think the fact that you are DD's mummy should be a more than reasonable enough reason to be allowed to say no smoking!

My mum is a heavy smoker and the rules around her smoking are very clear...if she wants to hold my DD she mustn't smoke.....at all during the whole visit....if she has a problem with that- thats fine, she doesn't get to hold DD!!

If you can't tell, I am passionate about this. DD is my daughter and I am here to protect her and if others don't like it...too bad