Bill gets a medical qualification of college (10)

'bill' is the definition.
Both the answer and definition are singular nouns.
Maybe they are linked in a way I don't understand?

'a medical qualification of college' is the wordplay.
I cannot really understand how this works, but
'a' is within the answer.
an anagram of 'medical' is 'demical' which is located in the answer.
'college' could be 'c' and 'c' is found in the answer.
A single letter 'a' remains which might be clued in a way I don't understand.
This may be the basis of the clue (or it may be nonsense).

'gets' is the link.

Can you help me to learn more?