I think it should be "The one on the right, is she the well-known dogface or just another dogface? "
The writer of the request didn't use acute marks. However there is a mark above "η", so I think "η" should be translated as disjunctive conjunction ( "or" ) in this case.
Please let me know if you agree and I will edit the translation - or let me know if you don't agree and hopefully you and User10 can decide what is meant here