Most definitely! Dry mouth is both a common symptom of anxiety...and a fairly common side effect of anti-depressants and antu-anxiety meds (just FYI).
Hi people can anxiety cause dry mouth? I really feel scared because I have this dry mouth for a couple of hours now.
MY guess would actually be the acid reflux causing the sore throat, that happens with GERD. Again, a total guess. People with anxiety have complained of the old "lump in the throat", but an actual sore, irritated throat? I doubt that is anxiety.
Go see your doc and find out what's up. Especially is it is strep throat...you need to be treated for that.
Let us know what the doc says!