Fan

Fans were people who had a strong interest in something or somebody. Before realising that he was his future incarnation, the Fifth Doctor initially believed that the Tenth Doctor was a fan, suspecting that he was a member of LINDA. (TV: Time Crash)

Invalid sources
A fan of the Doctor attended the Annual Gallifreyan Doctor Who Con where they asked the first six incarnations of the Doctor and Dr. Who about the most evil foe they had encountered over the years. (NOTVALID: Doctor Who? 95)

The Cyber Fan, a variant of Cyberman, asked the Seventh Doctor for his autograph. (NOTVALID: Doctor Who? 204)