Hello there,
I can see the wound is infected with redness in the surrounding which suggest that its infected wound... wound healing cannot occur if there is infection
Being a surgeon i would have done debridement of the wound (thorough cleaning) and made it infection free... this wound will not heal by antibiotics alone...
Next Steps
a general surgeon should debride the wound
and if possible give antibiotic after pus culture
Health Tips
take high protein diet and iron rich diet for early healing