That's encouraging! Hopefully if there is swelling, it will reduce on its own in time and she'll start having an easier time of things. Did the vet discuss any meds or diet focus that might be helpful?
The thing to note about the curve syringes (I mentioned this a bit earlier) is that they can be pretty powerful so be careful not to be too forceful with the plunger. I've found it best to offer syringe food from the side rather than straight on, that way if some of the food comes through too quickly (sometimes there are air pockets or clogs from bigger bits of food etc) then it is more likely to go to the other side of her mouth or out the other side of her mouth than down her throat or into her lungs which can be problematic.
You can snip the end of the syringe to an appropriate size which may make things easier if you can have it be a bit bigger than standard. It might also be easiest to use a commercial baby food puree rather than making your own since the consistency might be more - consistent. That will help prevent the syringe from getting clogged from larger bits of puree. Watering down the mixture a bit may also be helpful for a while. That will just come down to some trial and error to see what works best.