Yes, on the track of this first answer, I would suggest you to try to amplify the material by re-inoculation so that you can have enough material for both molecular analysis and subsequent culture studies. In the latter, you could try various nutrient rich media as well as nutrient poor ones to see if conidial development could be gained.
this fungus isolated from severe hair loss case, it is slow growing (1 cm in 14 days), brown raised colony with irregular edges, in attached the hair shaft tested with KOH 10%+LPCP, actually, it's unusual for me.....
It is difficult to say without fructifications. It could be a Dermatophyte Infection caused by Microsporum, Trichophyton ....Try to grow it on keratin ( sterilized hair, feather, horse hair..)
Hair invasion type on you picture is endothrix, similarly to what is seen in hair infection by Trichophyton sp.
From the colony macroscopic features and the abundant chlamydospores, with no conidia, at the microscopic examination, I would guess it is Trichophyton verrucosum. Usually this dermatophyte is acquired from cattle. Is the epidemiological context compatible? Lesion in humans are described to be very inflammatory, is it also the case here?
The current identification gold standard is rRNA ITS regions nucleotide sequence analysis...