Karen Handel, the Republican who advanced to a June 20 runoff alongside Democrat Jon Ossoff, kept Trump at arm's length during the campaign - and didn't mention his name during her election night victory speech.
Ossoff, she continued, "Would be another vote for Nancy Pelosi and going to Washington and saying I won't do anything".
However, McDaniel responded, when asked if she was concerned that Ossoff's numbers reflected vulnerability for the GOP that Democrats have yet to get their first win against President Donald Trump.
The runoff election for the House seat vacated by current HHS Secretary Tom Price is scheduled for June 20th.
Trump became involved with the Georgia election, including making robocalls and tweeting, and McDaniel said she'd like to see him remain involved in all of the special elections.
Ossoff and Handel will now compete in a runoff on June 20.
"This is on top of. living outside of Georgia's 6th Congressional District". Republicans are bidding to prevent a major upset in a conservative Georgia congressional district Tuesday wh.
Ossoff, a former congressional staffer, entered the race as a long shot - a Democrat hasn't represented the district since former House Speaker Newt Gingrich won his first congressional race in 1978.
Republicans in the race are split among Trump supporters and candidates trying to hold the president at arm's length.
A two-month runoff campaign will test both parties ahead of the 2018 midterm elections.
An Ossoff win would not tip the balance of power in Washington but could weaken the already shaky hold Trump has on his fellow Republicans by encouraging lawmakers to distance themselves from him.
Prior to Tuesday's election, Ossoff received high praise from Democrats and even from some in the media.
"If you had told any of us, let's be honest, just six weeks ago, that we would get the kind of result we did on Tuesday, we wouldn't have believed it", Ossoff said. Mr Spicer said Mr Trump could campaign for her "if needed".
The Democrat reportedly amassed an astounding $8.3 million from almost 200,000 donors, with over 95 percent of those contributions coming from out of state.
The White House, which monitored the elections closely, pushed back against the suggestion it was a referendum on Trump. "Anything short of describing that as a loss is sort of inconceivable to me in the sense that they literally said that is what they said would do". Price won 62 percent of the vote in November, about 14 percentage points ahead of Trump's total.