They've already seen both her and Jon in the trenches, so their loyalty and to the North is not in question.

What is questionable are these new people, and their place in Winterfell and the North at large. First integrate the new people so they consider them part of the family, then bring up supplies and food. Now in the background you still look to get more food, and maybe as a whole you announce to everybody rations are being tightened, but don't make it seem as if people who are here to help fight the enemy are burdens.