Totally think this is adoption related and think grandma was silly not to take the four week 'rule' seriously.
Politely tell grandma to back off.
You mentioned eh taking dd somewhere without you.
Are you the primary carer? Or is dh? Was it to grandma's house?
If you are the primary carer (the person who spends more time with her, I mean) please be careful about separating yourself from baby too early.
As far as I understand it she will bond and attach first to primary carer, then to secondary carer, then to sibling/s (if any) and then to others. Please correct Mr if anyone knows differently.
She certainly will not bond and attach successfully to multiple people at the same time.
Please do not take your dd to her grandma's house, yet, or let dh do that. It seems a very bad idea to take your dd to the house of someone she doesn't't like so early on.
Even though you know it is safe, she does not.
In time she will hopefully relax, she will IMHO take her cues from your son, and you, she will see grandma as a safe person to be around if your son shoes her this. But now IMHO is too soon.
The smoking may be a feature, may not.
As might hats/perfume/voice etc.
When young, my kids (birth dd, 12, and adopted son, 6) both hated it when I tied my hair back or wrapped a towel round my head! Does she favour any distinctive clothes/hats?
Good luck but please do focus on your own attachment first, especially as she is so young, practise funnelling and tell grandma it is too soon. Your dd can have extra granny time but not dd yet.