The relief Finn feels at seeing Rey alive and safe floods him the moment he sees her, the unease of his predicament is lifted for a moment because his friend is here. Whatever comes after this will be easier dealt with by virtue of her presence.
Finn doesn't stop to inquire about her health either, too surprised and overjoyed to see Rey. He wraps his arms around her tight and enjoys the embrace before his minds catches up and he remembers the last thing he'd been doing was protecting Rey from Kylo Ren. He pulls away a little abruptly, looking her over quickly and making sure all body parts are intact. "Are you okay?" he asks, despite the fact that all her limbs are counted for. "What happened with you and Ren? How did you defeat him?"