Did this ever resolve for you? I can now see my epiglottis and it feels like I have something stuck in my throat every time I swallow.
Hello and hope you are doing well.
Understand your predicament. It is uncommon to see a prominent epiglottis, a swollen uvula is more common. As it is not causing problems with breathing or swallowing, its best left alone. If inflammation, you can try anti inflammatory medications and salt water gargles. If it is very troublesome, you can ask for surgical correction after a thorough assessment.
Hope this helped and do keep us posted.