It was an unexpectedly, wonderful meeting.
Rose introduced herself politely to Terezi, but when she attempted to grab the troll's arm to guide Terezi's hand into her own for a handshake; she was pulled into a hug. Rose was a bit shocked, seeing as the two barely knew each other, but she reciprocated anyway.
They proceeded to talk for a long time; Rose finding the Alterian justice system fascinating and Terezi eager to hear more about Sigmund Freud.
And when it was time to part, the two smiled at each other; a silent agreement that they would keep in contact.