You can search it through the research papers as well as preparing more slides with perfection and study the morphological and colony characters. Viewing these photographs, it is not possible to recognise the fungus.
It is not clear view. In the next microscopic view, we can see the spore like structures just like that of rust spores ie. uredospores. But the thing is there is no vegetative structures such as mycelium or hypha in between the spores. So I think it is not the fungi.
From the first picture I can see some vegetative structures that look like fungi belonging to class Zygomycetes (majorly Mucor and Rhizopus) while the second one shows scanty vegetative body of an unknown fungus. But generally, none of the pictures is showing a clear and visible morphology of a particular fungus.
You may need to prepare the slides of the organism(s) again.
You can't id the fungus from these smears. The above are just guesses.
In any case, the product is clearly adulterated per EU reg's governing Ireland.
https://eur-lex.europa.eu/eli/reg/2009/1223/oj
You should culture to confirm and est. level. Based on industry experience, mycelial fungal contamination of cosmetics is very unlikely to offer direct pathogenic risk. However, there may also be bacteria contamination that can. Again, you need to cultute.
Try getting a culture so you can grow it in isolation and get some better images. You'll probably need to try several dilutions for plating to get the fungus by itself and not with any bacteria.