At some point in Loki (the show), I want Loki to accidentally turn into his Jötunn (start turning blue and growing tall) in front of Mobius. He gets scared and tries hiding since he was taught to keep that part of him hidden, which made him feel ashamed of it. Mobius immediately stops him, takes Loki’s face in between his hands, and says, “Loki, you’re beautiful.” Close to tears, Loki holds onto Mobius’ hands and leans his head against his. Since then, Loki feels more comfortable switching to his Jötunn form because he knows Mobius will be there as his support.
If anyone ever complains about Loki’s form, Mobius won’t hesitant to defend him. By the end of it, they’ll be too scared to even look at Loki for days. After the first time, Loki kind of hopes it’ll happen because he finds scary Mobius attractive.
Guys, just a thought, but what if the reason Mobius is so invested in Loki's life (way before Loki showed up at the TVA) is, because in his timeline they knew each other. We know Mobius is fascinated by Jet-Skis, most likely because they are related to his life before the TVA. So what if, the reason Mobius is so interested in Loki's life, is because Loki played a big part in his past life as well.