Alicia didn't like that Juliette insisted so much on the heater.  It's not that she didn't appreciate the offer, but Alicia didn't like being a freeloader.  She felt guilty when others helped her, even if she really needed the help.  In part, she was a very prideful woman. 

However, thinking about her brother let her push her pride over a bit.  "A space heater?" she considered, looking at the room her brother slept in.  "Actually that would be great, at least his room could be warmer," Alicia said, doing her best to swallow her pride.  "Thank you, Juliette."