The phrase "one's primary victory" refers to winning an important election within a political party. It signifies that a candidate has emerged as the chosen nominee for their party in a particular race or election. Full definition
County Legislator Laura Curran barely had time to savor her Democratic primary victory over County Comptroller (and party switcher) George Maragos last night before Martins, a former state senator, hit the airwaves with his first TV ad of the race. (nystateofpolitics.com)
Paladino ran for Governor of New York in 2010 and turned in a surprising Republican Primary victory in an election season fueled by Tea Party populism. (rocklandtimes.com)
He pointed to Ned Lamont's Democratic primary victory over US Senator Joe Liberman in 2006 — just six years after Lieberman, who began the race with at 65 - to - 19 percent edge over Lamont, was their party's vice presidential nominee. (gaycitynews.nyc)