6 weeks was definitely younger than she should have been away from her mom, but I don't agree that 7 weeks is too early. We brought Finley home at 7 weeks and the timing was perfect. He fit in pretty seamlessly.
A week is not very long for a dog who is used to being an only child to adjust to an obnoxious puppy lol. Definitely don't try to force it, you'll just make things worse. Eventually, he will warm up to her, I'm sure. Gizmo hated Finley for two days, and then they were BFFs. But Tink is still not 100% adapted to having Fin around, and we've had him for 9 weeks now. She's good with him, sort of kind of plays with him once in a while, but still not uber excited about his puppy self. Different personalities react in different ways