Hi Connor,
Stress and anxiety can make tinnitus worse, aswell as listening to loud music for too long. If it's only a "little" buzzing and it's so new, you should recover well from it. The sound can go away completely, or after time you'll just notice it less and less and it won't cause you any problems.
You may want to go and see a doctor to get your ears checked just in case they can find a reason for it. You don't seem to know a specific reason that could've causes it, so it could be an ear infection, wax buildup or anything else.
Try to keep your mind busy and distracted from the sound, this should ease up your anxiety about it.
Regards,
Daniel