It is about 99% chance your lip inflammation is a reaction to food you eat or spoons you eat with or something else you put in your mouth.
Instead of waiting for an allergy test, which may give false positives and false negatives, if I were you I would have started today with total Elimination Diet and figured out what in my diet is bothering my lips.
Gluten and wheat seem to be very high up on the list of EC triggers.
If little bit lucky, within a few weeks you will know what you are reacting to, and will not need doctors to tell you that.