Hairless around her eye it seems to be itchy and looks like it could be a fungus

She is 4 yrs old and is a bloodhound the one eye seems to be the only one being irritated

Hello - and thankyou for this thought-provoking question.  What is it about the appearance of this eye that resembles a fungus? - as in my experience, fungal hair loss has a huge range of presentations and can easily be confilused with several other causes of hair-loss.  Some of these other causes are potential emergencies, making it dangerous to assume a diagnosis of fungal disease (and potentially  missing a more urgent case). Ringworm is a fungus and occasionally owners report that it is itchy.  However, this would look very similar to damage done by demodex, a mite that lives deep in the hair follicles (very occasionally reported to be itchy by some, especially if accompanied by local infection).  Both diseases are relatively non urgent (although Ringworm can easily spread to humans, especially those with a low immunity such as the very young, ill or old)!  They also look similar to the effects of rubbing and scratching because of of unilateral (one-sided) eye pain, such as that caused by glaucoma, a foreign body, entropion, pressure behind the eye, a sudden neurological change and so on.  Dogs often itch instead of showing the signs that humans would conventionally associate with pain. Other skin disease, perhaps in connection with fleas or allergy, could be implicated and would spread if unchecked. This differentials -possibilities - list includes a few potentially urgent cases that I can't rule out, so the only sensible advice that I can give you would be to have the case formally triaged by your emergency vet.  Triage is the process of assessing a specific case and decising how urgently it needs to be seen. I hope that something there is helpful.