Straxus was a Time Lord who worked for the High Council of Gallifrey.
Biography
Straxus was sent by the High Council to the Doctor's TARDIS to send the Eighth Doctor to Lonsis so that he could retrieve Lucie Miller from a temporal blackspot. The Doctor agreed on condition that Straxus fix his TARDIS. Straxus agreed and gave the Doctor a time ring for his mission.
On the Doctor's return from his mission, Straxus told the Doctor why Lucie was originally taken out of her own time and sent to the Doctor. Straxus then helped the Doctor defeat the Cybermen on Lonsis before returning to Gallifrey. (BFA: Human Resources)
Straxus was later sent by the Time Lords to help the Doctor defeat Zarodnix and stop the resurrection of Morbius. (BFA: Sisters of the Flame, The Vengeance of Morbius)
Straxus went on a mission for the Time Lords to 19th century Earth where an attempt was made on his life by Septimus, one of his Cwejen clones. (BFBS: The Adventure of the Diogenes Damsel)