Not all COVID patients on steroids develop fungal infection. You should keep monitoring yourself and look for signs like Nasal bleed or blackish discharge from the nose, blocked nose, swelling around the nose, bulging of eyeball (proptosis), restricted eye movements (ophthalmoplegia) chemosis, blackish discoloration of skin around the eye, blurring of vision, headache, dental pain.
If any of the above mentioned symptoms are there then you need to consult ASAP.
Next Steps
For itching in eye, you can use eye drop Olopat twice a day for 1 week