I don't remember the earlier chapters or her name, but this is the same girl Maki was with when Liz and her lover got busted, not a new character. The hug looks nice, but imho it's just a lazy cliffhanger so we can get some satisfaction until the .... hits the fan in the next chapter.
From what I saw so far, these type of yuri stories never survive the 20+ chapter mark, and they never really have a proper redemption arc, or some kind of poetic justice at the end, so I am pretty sure it's going to end in like one or two chapters with Liz and Maki reconciling like nothing happened.