hm... so as i though.. slime absorbed soo many potions, so he can now use healing... next time she could bring him to this minotaur corpse to consume some of his abilities. (just my though, i not read vn or something)
She will formally be adopted still quite far in the future (ch.300+ in the WN according to spoiler threads on NU) by a debt slave she saves and has a contract with (dunno the details on their bonding), most likely it'll happen once the debt has been paid.
Still... as of the next couple of arcs, we'll get several candidates of potential family for her (but since its too soon, she doesn't allow herself to open up as much)
Next arc/town, the captain & vice captain, the former especially was just radiating father material for me when I read that arc. Heck, their subordinates are even a joy to read!
As for recent translations, the adventurer party she befriends has one particular adventurer who acts like a big brother figure for her.