Ahem. David Bradley (the chap who played William Hartnell in "An Adventure in Space and Time") won a BAFTA for Supporting Actor, for his role in Broadchurch (by Chris Chibnall). Sarah Lancashire, who played the evil nanny Miss Foster in "Partners in Crime", won the Supporting Actress award for her role in "Last Tango in Halifax". "Broadchurch" won in Best Drama, as you'd expect (the award clips for the programme all had David Tennant, though he was otherwise preoccupied this evening). James Corden introduced the female comedy actor award but missed out on his solo awards (though "A League of Their Own" won). Sadly Mark Gatiss didn't win his nomination for "An Adventure in Space and Time", being beat out by "Complicit". "Day of the Doctor" won the Radio Times Audience Award, though; Steven Moffat got a big cheer even though he wasn't there. Olivia Colman, the Mother in "The Eleventh Hour" won for a rather more significant part as Best Actress in "Broadchurch" (David Tennant, she says, is "a joy and a treat").
You can watch the part you're interested in below.