Yes drinking some warm peppermint tea is good for a sore throat.
The menthol in peppermint helps to soothe the sore throat and helps reduce inflammation of the throat and cools the hurting sensation of your sore throat.
You can also suck on some peppermint sticks or candy canes or peppermint candy to help soothe your sore throat and that does help quite a bit along with drinking the warm peppermint tea.
I keep peppermint candy around so that I can constantly suck on the peppermint candy to help soothe my sore throat.
Within a few days to a week the sore throat should be gone but continue sucking on peppermint candy or taking some Halls Cough Drops that help more than other cough drops do.
Using a humidifier in your home or room at night also helps keep your throat moist to avoid it from drying out which also heals the sore throat much faster and keeps it from drying out again.
Gargling with apple cider vinegar and drinking a glass of water and apple cider vinegar is also good for getting rid of sore throats because apple cider vinegar is antibacterial.