Keep in mind a puppy isn't an adult and needs to be handled and gently socialised over time. They just cannot cope with constant attention. I would not force yourself on her -- never try to make a puppy bond -- you have to let pups and adult dogs do this in their own time. I regularly home rescues and the best piece of advice I learned from experienced rescue mentors and which I pass along to new homes is: do NOT fuss over the dog, do not overwhelm him or her with attention, do not assume they are already the dog you want them to become. Let them be who they are right now and grow to trust you. Most animals need a bit of time to learn that and make that shift, most especially, rescues and young puppies.
Or look at it from the dog's perspective and remember when you were a small child. I am sure we all remember the adults we just didn;t like because they constantly fussed over us, invaded our space by wanting to hug and kiss us when we hardly knew them, and wouldn't leave us alone (certain elderly aunts might spring to mind! ). This can be absolutely exhausting and frustrating and overwhelming for a human child -- just as it is for a dog or cat, puppy or kitten. In addition you have to allow for personalities -- many dogs simply are more aloof by nature than others. Often females are a bit more aloof than males. They won;t be encouraged to bond by being forced to interact. Indeed iot can cause them to become snappy out of anxiety and frustration. They will bond and settle by *being allowed to in their own time*.
I would forget brushing -- puppies do not need brushing and this is either totally overstimulating her into play fighting with the brush and your hands or is truly bothering her. Just get the softest puppy brush you can, and once a week, gently brush her for no more than 10-15 seconds. If she hates this, just touch her with the brush and don;t actually brush her. Over the coming months you can work up to a longer time. Do not bear down on her; hardly touch her with the brush. All you need to do is get her used to being handled over time for when she does need grooming -- but that is unloikely to be necessary for half a year or more.
If a puppy is too difficult for you, I'd suggest going back to talk to the breeder and see if you could opt for an older dog. Many breeders have dogs of 6 months of age or older, inclduing retired breeding dogs of 5 or 6. It may be that a more settled nd mature dog would be a better choice? This is often the case for someone who doesn't want to go through the challenging first year of puppyhood again (many of us, including me, feel that way -- after one puppy, my next two were adults!). You have many, many months ahead of trying to manage and train a puppy and if you have any uncertainties about this or this particular puppy, it might be much happier for the pup and for you to think about talking again to your breeder. A puppy that is extremely outgoing and active is going to be the same as an adult -- a very active, confident and forthright dog -- which may be a challenge for some homes to manage. It is worth sitting down and thinking through all this with both heart AND head to consider whether you are prepared for 10-12 years of the adult dog this puppy will become; and perhaps go back to the breeder with any concerns.