Alyce listened as Matt talked. It was sad, but in a way mirrored what had happened to a lot of people since the outbreak. She felt really bad for him.
"You don't have to get a job," she told him, covering his hand with hers and patting it. "You can stay as long as you need to. I don't really eat much anyway so sharing rations with you won't be hard. Plus it will be nice you have a man around here in case... well, in case I run into those guys again."
She shivered at the thought of the men that had attacked her.

"I owe you my life," she told him. "But I would help you anyway. It's nothing to let you stay here. I've got room. And if you really want to work and get out into the city to find your father, their are usually curior jobs available, especially for someone who can handle themselves like you can. Who could deliver outside the walls to check points or watchtowers. The military will pay you in rations, while more... unofficial people will pay you in other things."

Basically if you weren't working for the military then you were a smuggler. That was how things worked. 
The only other option was the be a criminal like the Fireflies.
Alyce went to a box in the corner near the bed and pulled out some old but clean looking men's clothes. "These were my brother's before he left," she explained. "If you want a shower, you could change into these."
She offered him the clothes. She had an extra blanket which she could use to make up the shabby couch. It wasn't much, but it was really all she had to offer him. It was either the couch or in the bed with her...
Alyce blushed heavily at that thought and pushed it away. He was extremely good looking, that was true. You'd have to be a corpse not to be interested in that strong body, but he was here because he needed help. She wasn't going to take advantage of the situation.