The way it sounds its as if she's very ,very picky or doesnt have much of an appetite. I
really would syringe feed the recipe that was given.
Did you get her from a breeder? Please dont take this the wrong way but how did the breeder let her go this tiny? Bringing one home this tiny is a 24/7 job. I hope someone is able to be with her all day long. I understand the sugar issues. I've been through that before. I brought home a 9 week old once but he was about 1 lb 4 oz at the time.Let us know how she's doing!
I would love to see this little darling's pictures!
Good Luck with your little furbaby
Genie
Cookie,Lola,Angel & Lucky