What's a "man egg"? Or is that a trick your spell correct on your device played on you?
That sure does look like gleet. If it smells, that would cinch it.
I recently treated a few in my flock for gleet. Up until then I had only used the anti-fungal. I did some research and found that bacteria is in cahoots with the fungus with gleet so that's why I had never been successful in treating gleet in the past.
I gave one dose of Medistatin twice a day. It does not require a prescription as Nystatin does. You can buy it here.
https://jedds.com/products/medistatin-medpet?_pos=1&_sid=0bfbbb36e&_ss=r
It comes in powder form. What I did was take an empty gel cap that you can get on Amazon or at any health food store, and filled them with the powder. I think I used the size zero. This is the easiest method to get a med into a chicken - just shove it into the beak.
I also gave one 250mg cap of fish mox each day. I did this for four days. I also sprayed Betadine on the vent and on the skin below the vent to kill the fungus on her external tissue. After four days the gleet was gone. You can also get the fish mox at Jedds.
If this is more stubborn and does not clear up in four days, continue for another couple days.