It is the dynamic between her and Dad... and it was created by Dad/your Husband.
Since your daughter cannot always deal with it... (like and adult)... your Husband should key it down. My opinion.
It is not helping her or making her feel good... and your Husband saying that that is his daddy-daughter time... is to me an excuse... AND IT IS YOUR BUSINESS... THAT IS YOUR DAUGHTER TOO.
Sorry, but I think he is doing her a dis-service. He is not teaching her anything great except to razz people. Maybe he was raised like that... or maybe he thinks it funny... but it is at her expense.
The thing is, I don't agree with him. And i think you need to be more proactive. She is your child too... and a Dad does not have "dibs" on her just because that is how he likes to play games.
Example: a young child is being tickled by an adult. The child laughs & giggles. But after a time the child doesn't like it and says to stop. The adult doesn't stop and says to the child "don't you have a sense of humor?" and keeps tickling the child. The child then thinks its no fun and/or cries. The Adult STILL tickles/razzes the child or calls her/him "take that idiot! How do you feel now sucker!"... and keeps tickling the child. As the tickling goes on... it is obvious the child is now suffering... and it is NOT funny nor can the child handle the "humor" of the adult. After all... this is not a child's game anymore... it is an adult version of humor... much like a college frat boy would do to his other Fraternity brothers in a joke as a ruse.
The thing is... your daughter is 8... she is a girl... and who the heck would want to teach a girl to say "SUCKER" and "IDIOT" and act like a bar-room drunk idiot and use crass humor????
I wouldn't. And at the rate your Husband is going... I don't think he is funny either. Not at all.
My Husband comes from another culture and has his own humor too. But sometimes, my daughter simply does NOT think he is funny nor the least bit fun.... because his humor is NOT how my daughter is, nor for her mentality etc. And, so I had to 'teach' my Husband... that she is NOT like his brothers... and he can't treat her the way he is with his Buddies... this is a 7 year old girl for crying out loud. NOR would I want him to do that with my 3.5 year old son. You teach a child quality..... and guidance and proper fun... when you are with a child. Not use the moment for propelling your own gross humor on a child... in a real knuckle-headed way.
All the best,
Susan