She had a point; everyone in that context had people that they wanted to return to. Terry was the only exception, so there was no need for her to get special treatment. Still, he was being reckless when there were two kids waiting for her at home, and Terry didn't want to lead her to a possible death.
In the end, Terry made the tough decision to leave behind those with the weakest weapons. It wasn't an easy choice, but he knew that in order to maximize their chances of success, they needed to prioritize strength and firepower. Unlike Rebecca, who had passionately argued for her inclusion in the mission, those with weaker weapons didn't protest or try to argue their case.