You should ask your friends or neighbors to come over to socialize your puppy if its too cold out. Its VERY important at this age for her to be socialized. When she is a little older, start dominance lessons. Make her wait for her food bowl, sitting or standing nicely. Pin her down on her side and don't let her get up until she stops wiggling. It will be nice in the long run. I have never heard of the chi being known for aggression, so I highly doubt it is because she's a chi. Make sure she interacts with young children and young teens. If she growls make sure to tell her NO! She is very young so you shouldent have a problem when she's older if you fix it now.

Good luck.