Well, what kind of character trait does your fursona have? Doe it represent you? Do you like simple or complicated names? Should it be one name or consisting of a first (, middle) and last name?
You could use random name generators, or try to find if there us any things you like, name your character after it, or name it based on a thing. (Think of hobbies, colours, foods, drinks, etc. Anything goes.) Or if there is a language you like, see if you can translate any words to that language, see what comes out?
Or does your character represent a certain element, emotion, or anything else?
Try to see if any of these answers help you in a way to come up with a word or name, something that you feel makes a connection to your character
And do you still want to receive constructive criticism on the drawing you made?