Clue: Rely on doctor, having cold in a university city – he takes bloods (5,7)
Answer: COUNT DRACULA
Explanation: Definition: he takes bloods
A charade of COUNT ('rely') plus DR ('doctor') plus ACULA, an envelope ('in') of C ('cold') in 'a' plus U ('university') plus LA (los Angeles, 'city'). A curious plural, 'bloods'.