Hello Ami,
Thank you for asking your query at DoctorSpring.
The wound might have a minor infection. There is slight odema (swelling) and redness. But it could be very well due to a tight gloves or from the super added trauma from Muay Thai classes !
No there is no emergent danger as of now. You can just keep a watch on the swelling. Apply the fusidic cream twice daily for 3 days. The swelling and the wound should start healing in 2 days. As of now it appears you do not need oral antibiotics. Antibiotics (also a Doctor visit) need to be considered under these circumstances
1. Fever
2. Pain over the arm or Pain along the veins
3. Pus or watery discharge from the wound site.
The probability for the above said symptoms to appear is very less. The wound should resolve by its own in few days. However Do keep a watch on it. Avoid trauma / boxing for a couple of days.
Hope this helps
Please feel free to ask followup questions
Thank you