It's true that he doesn't know her situation back where she's from. Poe's patience on staying here will run extremely thin. He knows he's going to need to stay busy and hopefully he'll be able to help people while he's here.

"Nice to meet you Tessa." He gives a nod to that. "I wouldn't worry about them trying to kill us. The Galaxy I come from has people who have abilities. Abilities that can crush you, strike you down, toss anything at you from miles away. I've faced one before and met a few others, I work for a general who can use these abilities herself but it's not all the time. I take a lot of risks." Poe's dedicated to the cause of the Resistance. He's going to eventually come to the conclusion that no one gets left behind.