Industry star Abela thanked the writers for her character's development, while Lennie James, Leading Actor winner for Mr Loverman, gave a moving, impromptu speech.
Ruth Jones won Female Performance in a Comedy for Gavin & Stacey, and Danny Dyer took Male Performance in a Comedy for Mr Bigstuff.
Mr Bates vs. the Post Office won Limited Drama, prompting calls for compensation for the wrongly convicted subpostmasters.
Despite its popularity, The Traitors failed to secure any awards, while host Alan Cumming's performance saw mixed reactions.