Anonymous lover is quite a card (9)
I believe the answer is:
valentine
'card' is the definition.
(I know that Valentine is a type of greeting card)
I can't explain the rest of the clue.
Can you help me to learn more?
(Other definitions for valentine that I've seen before include "Message for February 14" , "Love card" , "February patron saint of lovers" , "Potential lover" , "A loving greeting card sent on February 14th" .)