Hi. Welcome to HCM
If your leg is red or swollen, it would be better to consult the
dermatologist.
If it is just burning or painful, continue the
aloe vera with
lidocaine. Your skin may turn dry and peel off as it heals, the dead burnt skin, leaving some light areas. Continue to use aloe vera lotion over it.
If you do develop any watery blisters, as may happen in deeper burns, do not burst them or peel off the skin. If it peels off, you can apply an antibiotic cream like
fusidic acid to prevent infection.
If you develop symptoms like fever,
severe chills, pains,etc do go to the hospital. Since you did not have such symptoms so far, its unlikely that you will now.
Applications may need to be continued for 7-10 days till your skin recovers. A mild steroid cream maybe used if there is very red and inflammed skin. Remember to stay hydrated, drink plenty of fluids.
Hope this helps.