Poor Anika! Candace's idea of A/D is good. There is another brand of the same idea that has come out called 'Recovery' and you can get that at the vet clinic too. I picked up a few cans of both A/D and Recovery to keep my cat interested when I was trying to get him to eat.

I wonder if she would be interested in just the gravy of some wet food. There are some Fancy Feast cans that have gravy mixed in like the Grilled flavours. And Friskies shredded turkey and cheese has quite a bit of gravy and is well liked by my crew. I know it's like Twinkies for cats but at this point, getting something in her is key.

The foaming at the mouth after syringing milk and water might indicate that it's going down to fast. My vet suggested to me that it is safest to slowly squirt some water into the pouch of the cheek and then they can swallow it. She said that if you syringe it straight in too quickly, it can cause a cat to aspirate and that could cause alot of problems. You may already be doing the cheek thing but I thought I'd pass it along just in case.

This may have already been mentioned in this thread but smearing some wet food (a thin layer) on her paw will probably get her to clean it off. Hopefully a few times throughout the day will help her get some nutrients in her.
Prayers going out for Anika that she will soon find her appetite.