Remus quite literally got on his knees and begged for her forgiveness, and it’s hard to stay upset with a person when you’re so in touch with their deepest emotions. At the end of the day, it felt hypocritical of her to stay upset when she also daydreamt about kissing Malfoy. Constantly. Ever since that moment in the library she’d wanted to see what he tasted like, and at Grimmauld Place, before the moon, she fantasized about Malfoy and Remus together. So, in the spirit of confusion, and trying to sort out her feelings, she decided that the simplest approach might just be to invite him to study. No expectations, just two people, studying, and maybe becoming friends before jumping into a lifelong commitment. Easy.