Students have overwhelmingly supported a major overhaul of the organisation's governance structure and a move to online student meetings - both reforms she has been supporting and promoting.
"I'm very happy. I was getting worried that the OUSA was an organisation quite resistant to change," she said just after online voting closed yesterday.
Almost 1400 students voted, well above the 1050 students, or 5% of the student body, needed for a referendum to be valid and binding.
The decisions mean the association's executive will decrease from 17 members to 10 from next year, and the representation structure will be strengthened by the establishment of eight committees - welfare, education, postgraduate, policy, finance and expenditure, recreation, communications and events.
Also, instead of students physically gathering for student general meetings twice a year, the executive will from next year conduct most of its consultation and decision-making interaction with students online.
It took two different executive groupings a year to come up with the governance restructuring proposal. Ms Geoghegan said she believed it would result in a less unwieldy executive which was "more inclusive, response, engaged and relevant".
However, critics argued some groups such as gay students would be worse off because of the loss of direct representation on the executive.
Nominations for the 10 executive positions for 2011 would open later this month, she said.
She had not ruled out standing for a second term as president but said she had not decided yet.
Asked how online student meetings would work, Ms Geoghegan said the executive would put proposals directly to students electronically.
The executive could ask students to vote in an online referendum on a particular proposal, and students could prompt a referendum if 5% of the student body was in support.
REFERENDUM RESULTS
• Governance restructuring: Yes - 72% (1010 votes), No - 22% (316), Abstain - 5% (73)
• Online student general meetings: Yes - 87% (1219), No - 10% (140), Abstain - 2% (32)