A day after being sent out for the water chip, on December 6, the Vault Dweller is once again able to enter Vault 13. On Level 2, talk to any of the upset vault dwellers. Mention that the quest is not going well. The citizen will then mention that there is a movement to leave the vault. They will then tell the Vault Dweller that the faction's meetings take place at 17:00 in Theresa's room.
Theresa can be confronted at any time. Convincing her to remain in Vault 13 requires an Intelligence of 6 and a Speech check. However, there is only one chance to do so.