
Send the shar-pei back to where you got it from..
sorry to sound harsh but your girl is only a youngster herself and needs to grow up mentally first before introducing another dog into your home. I think the best age for bringing in a new dog is when the oldest one is over the age of 3 then they are adults mentally themselves and have the capacity to be more patient with a young 11 month old newcomer.
You basically have 2 juveniles now that will squabble over you-toys-food everything. Walking them regularly together might instill a more of a pack bond. Is there a dog training centre near you? you would benefit from taking them both to dog training classes for a more harmonious home life, as you train them to listen and behave when situations do arise you will cope with them better. It is not going to be easy though.
If you do persevere... best of luck.
Only truly at ease with four legged friends.