She wanted to restart a new brotherhood after recovering the "Potentia", a Zero Point Module, where the Quindosim believed that they would supposedly be rewarded by the Ancients if they returned it to them although the group was not aware of the fact that the Ancients were long gone and would never ever return to the Pegasus Galaxy.
In 2005, she assisted Major John Sheppard's team to help find the ZPM to repower Atlantis from an inevitable Wraith incursion. She was particularly fond of Dr. Rodney McKay, as she kept flirting with him, though McKay was very oblivious to it. When Commander Acastus Kolya and the Genii captured the team to get the ZPM for themselves, she and McKay helped them find it.
After the rest of McKay's team subdued the Genii, Allina and her men surrounded the team to get the Potentia, revealing herself as the new leader of the Quindosim. Despite McKay's reasoning that the city of the Ancestors would fall if they didn't acquire the ZPM, Allina left them empty handed while advising them to leave the planet for good. (SGA: "The Brotherhood")