To start with - stop holding her muzzle and saying "No"! The muzzle is very sensitive and you can do serious damage that way and also, what you are doing makes no sense to her at all! While you are holding her in that way she is not biting so you are saying "NO" yet while you are saying it she is doing nothing wrong. The dog can't make the association between the punishment (holding her muzzle) and your words and her previous action. Imagine you don't speak English. You are holding the tv remote, someone comes along, grabs it from your hand, throws it to one side and then bends your arm up behind your back and shouts at you, saying something you don't understand. You may stay away from the remote but you won't know that you are not to touch the telephone or something else. Or you might think - "That was unfair, the next time he takes something from me I will bend his arm before he gets mine!"
Lots of dogs have a preference for one sex over the other - I have a dog who loves men/males - any age, any species. She respects my young male dog and my parents' male but tramples all over my other bitch. She adores my husband, my sons and my father but if I vanished tomorrow she wouldn't notice.
So your fiancée may never the same relationship with her as you have but she should be free to live in your home without being used as a chew toy

Does your fiancée interact with Brooke differently from the way you do? As women we tend to be higher pitched anyway and if she is anything like me she probably loves to cuddle the dog and, dare I admit, I use a lot of baby talk! These sort of things signal to the dog that this is someone who wants to play, who wants me to be excited and puppy like - which is exactly what Brooke's behaviour is. It is not aggressive, it is puppy play. But of course she needs to learn that it is not appropriate.
Your fiancée can help by being very calm, using a low voice and giving no attention when she starts biting. You both need to set down house rules for Brooke that you will both keep. For instance if she was my dog she would not be allowed on the furniture if her behaviour was wrong. My dog is a real couch potato. He is 4 years old and acts like a stuffed toy when he sits on my knee - I can turn him upside down, rock him like a baby, play with his toes and count his teeth. But when he was 5 months old I could barely touch him without him trying to eat me. I had to learn to give him positive attention in other ways rather than touch. Touch was reserved for those times he was calm and relaxed. If he started to bite I moved away and ignored him. I played with him a lot - he has always loved fetch - I would talk to him and make eye contact and smile but he was not allowed on the furniture (if I wanted to cuddle him I sat on the floor and got up if he started getting silly. Mostly I would sit on the floor and stroke his back. It took a while but he eventually understood that if he wanted to be touched he had to keep his teeth under control.
When it comes to chasing your fiancée you need to keep a close eye on Brooke - if you watch your dog you can often spot when a behaviour is about to occur. When you see her become alert and fix on your fiancée give her a firm command "Leave it!" or "Sit!" to break her concentration on the chase. I have had to do that with my dog and my youngest son. Then you can praise her when she responds. It works far better than punishing her after the deed has been done.
This article is really helpful and shows you what Brooke needs to learn and how you can teach her. The article on the following page needs to be read as well.
Puppy Biting | Dog Star Daily