If there is any choice to be made here, I think it's more likely to be one between the MC jumping in and saying he's Maya's boyfriend or saying nothing and Maya will do it herself, and that the MC choosing to do it himself will count positively towards Maya both in RP and as a marker to be remembered later.
Personally though, I'm leaning more towards thinking that the Dad won't find out about Josy. Either Josy will get waylayed on the way back, maybe by that girl Becky again or she'll go to the bathroom, or Maya will go into the room first, say "DAD!", and the MC and Josy will quickly halt before going in to the room, then Josy will go hide in the bathroom and the MC will go in and do the whole "pretend boyfriend" thing. Then, after the Dad has left, they'll call Josy back in and decide that she should stay with the HOTs because it will be safer since now they know Maya's Dad can show up at any time.
On the pretend boyfriend thing, I somewhat like the idea of it because I like to imagine a scenario where the Dad invites Maya to come home at some point for a family dinner and to bring her "boyfriend" with her. The Dad would use this opportunity to grill him and find out if it's legit, then during the dinner he'll say all sorts of nasty, backhanded things about Maya which the MC will then react to and either just defend her or also out their secret about being in a throuple. Maya then also stands up to her Dad after seeing the MC stand up for her like this, something nobody has done this aggressively before, and so it gives her the courage to finally confront her Dad.
Here'a a link to the dictionary page for the word "sage" -
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