Dear Faldage: the best way to fry cheese is i;n a ;microwqve. I used to like cheddar on toast, in the old days when they made toasters to that you could grill things under them. But it was tricky to get it crisped just right,
and very difficult to avoid burning the edges of the toast.
When I got my first microwave, I discovered that I could just put the cheddar on a Pyrex plate and with short burst of heat get it all nicely crisped. It would not stick very hard to the pyrex plate.Then it could be put onto a slice of toast. Frying cheese in a pan would just make a mess.