Hi, Eilon:
Since no one else has answered, let me take a stab at it. I’m going to get the highlights, I’m sure that others will chime in with more scientific details.
The dressing picture told the story for me. It doesn’t appear to be a fungal infection, that’s Pseudomonas drainage on your dressing. I prefer to hit this topically instead of a oral/systemic antibiotic. So, here’s what I would do ...
1) Soak the burn area topically with 0.25 - 0.5% acetic acid solution. 10 minutes topical soak when changing dressings would be fine. Then light rinse with normal saline. Pat dry.
2) Looks like the skin is closed. Yes, blistered, but essentially closed. Therefore, you don’t need a topical antibiotic goo, gel, or cream.
3) Sometimes with Pseudomonal infections, I will use 2 - 3 drops of ophthalmic gentamicin solution and spread it out with a cotton swab over the extent of the wound.
4) My dressing of choice would be Tegaderm foam or some sort of foam dressing. Change daily to start ... can be every other day to every third day when the wound starts to respond.
5) This is a leg (looks like), so a double layer of Tubigrips wouldn’t hurt to cover the dressing.
Those are my ‘off the cuff’ thoughts about this. I’m pretty sure that your wound will turn around in a week or so.
Gene