No. Unfortunately it will still have to compete as a Limited Series, because a comedy/drama show must air at least 6 episodes in eligibility period to be eligible for the corresponding category. Luther only aired 2 episodes this season.
The categories name may be “Limited Series/Tv Movie” but it actually covers all the following;
-Cancelled shows -Short-season shows -Brit shows -Anthologies -Half anthologies -True Miniseries and TV Movies -Theatrical films that couldn’t get a theatrical release -Filmed stage productions -TV Specials -One hour final episodes of regular shows