Alyce took the Beretta, but she didn't really know how to shoot. She had never really handled a gun before. She supposed it was pretty simple, point and pull the trigger.
When he said he'd been on his own for a while she nodded. "So have I," she replied. "I imagine a lot of people have. But it's more difficult for you, being out here instead of inside surrounded by people."

As they got closer to the wall she got quieter. She didn't want to draw anything to them, either infected or otherwise.
She wondered if Matt was a member of the fireflies, or perhaps a smuggler. And if he was, as a city worker, she had a duty to report him.
But would she? Did she even want to?

Whoever or whatever he was, he had helped her when he hadn't been required to. He could have just passed on by and left her to her fate. She owed him her life and at the very least to keep his presence a secret.
They spotted some more people running about here and there, scavengers or smugglers. Did Matt know any of them? Would they bother Matt and Alyce? Try to rob them? Or would they just continue on their way?