Even a Trump Cabinet member and former Georgia governor, Agriculture Secretary Sonny Perdue, acknowledged the conundrum at a recent Handel rally, saying "some Republicans" are "turned off" by the president.
Trump adds that Ossoff wants to "raise taxes and kill healthcare".
Ossoff, who led April's first round but fell shy of outright victory, gamely insisted that "this is about the folks right here in Georgia".
These more centrist ideas come from the beneficiary of over $23 million, mostly in outside money, in one of the most expensive House races ever.
Ossoff has unleashed a massive ground operation reportedly consisting of some 12,000 volunteers knocking on doors and calling potential voters.
The two campaigns and political groups have bombarded Atlanta airwaves with election advertising. Also on Tuesday is a race in SC, which Republicans are expected to win handily, for a replacement for Republican Mick Mulvaney, now Trump's budget director.
That all means there are many more people who typically vote Republican in the district than Democrats. "So much of this election has been about attitudes toward Donald Trump".
Democrats have plenty of energy around the country, but they've yet to translate that onto the electoral scoreboard, and they need to flip at least 24 GOP-held seats by next November to reclaim a House majority.
Pamphlets sit outside the campaign office of Jon Ossoff, Democratic candidate for Georgia's 6th congressional district in Chamblee, Ga., Monday, June 19, 2017.
The vote takes place on Tuesday, June 20.
But with Democrats falling short in those races, and the Republican expected to win in SC, all eyes have turned to Georgia.
Another congressional race is on tap Tuesday, in SC, where voters will choose a replacement for Mick Mulvaney, who is now White House budget director. Additionally, the impact of major national news events - like the attempted massacre of Republican congressmen in Alexandria, Virginia, last week - on voter turnout is similarly hard to predict.
More than 140,000 voters cast their ballots early - an astounding number for a special election, and one that almost matches presidential contests.
The Georgia 6th is an affluent and well-educated district that has elected Newt Gingrich, the former speaker; Johnny Isakson, now Georgia's senior US senator; and most recently Tom Price, who resigned in February to join the administration.