It seems that the artist just turn the Doctor into whatever they want in order to make context for the Disgusted Operator series.
The Doctor maybe different for all images, or really the same person who both loves yuri and a freak, which is unfortunate. But rest assured that the female operators hated the Doctor for many reasons, not just because of their love for yuri.
Doesn't matter though, I'm just enjoying the disgusted look from the Operators.
Updated
Somehow your hand is slimy...Can I go wash my hand?...Goodbye