This translation sucks. Just for some examples, Miyako actually calls Momiji "boyfriend", and makes no mention of Mai, just "Retreat!" (source: I translated the pages on Danbooru)
Also, left side text alignment is yuck.
So, from what I've read in both the official manga and a lot of Onimai fan made doujin, in their world it seems same sex relationships are kinda OK in their world.