Antibiotics, great!!!! Yes you need to "force" feed her the medicine. Do like you did before with the syringe to the side of her mouth, gently pry it open and squirt. And hold her head still till she swallows/licks so she doesn't shake it out of her mouth. She won't like it, but it's much more important that she gets the medicine than the temporary stress it might cause her.
Reptiles usually need to take antibiotics for 14 days, their systems respond more slowly to them than mammals. If you get to the end of the 10 days and you have any left, please continue it for up to 14 days if you have enough. (I know the vet told you 10 days, but do it anyway!)
And yes you need to force feed her the food formula too if she won't take it voluntarily. Once a day is good. You should use the same method with the syringe as you do with the medicine (although dont use the SAME syringe of course). Again its more important now that the food get INTO her than her temporary stress of force feeding.
If the antibiotics have the effect that I think they will, she might be eating bugs again in a few days. If she is, and you stop feeding her the liquid food, do still give her some milk thistle in water (same syringe squirt method) every day and keep doing it for a few weeks. Then taper off to a couple times a week for a few more weeks. This may not sound important to her recovery, but it is. My fingers are tired now, so I might explain why, later 