Former Secretary of State Hillary ClintonHillary Rodham ClintonIs it still possible to stop ‘Big Tech’ from killing democracy? Hillary Clinton for 2020 ‘not a good question,’ says Rahm Emanuel Graham: Comey should be held accountable for acting on bad intel MORE slightly lags behind both New Jersey Gov. Chris Christie (R) and Florida Sen. Marco RubioMarco RubioSenate panel could pass new Russia sanctions this summer McConnell on Trump: 'We could do with a little less drama' Taking the easy layup: Why brain cancer patients depend on it MORE (R) in hypothetical presidential match-ups in Colorado, one of the first polls showing her running behind potential 2016 opponents in a swing state.

In the Quinipiac University poll, Christie takes 44 percent support to Clinton's 41 percent support, while Rubio leads her by just one percentage point, 46 percent to 45 percent support for Clinton.

Clinton has led all Democratic and Republican challengers in nearly every poll of the 2016 landscape, making her an early favorite for the nomination and the win. But this new poll indicates she may have some work to do in swing states looking toward 2016.

Fifty-three percent of voters in Colorado see her favorably, while 44 percent have an unfavorable view. 

That's lower than the 58 percent nationwide who viewed her favorably earlier this month, according to a Bloomberg poll, which also seemed to indicate she may be suffering a loss of support due to backlash from the controversy over the State Department's response to the 2012 terror attack in Benghazi, Libya.

It seems general dissatisfaction with Democrats in Colorado may be bringing Clinton down in this new poll. Another potential Democratic presidential contender, Vice President Biden, actually lags Christie by 16 percent, and he trails Rubio by 13 percent.

President Obama is also underwater in Colorado, with 54 percent disapproving of the way he's doing his job and 43 percent approving.

One Democrat has reason to be pleased with the poll, however: A plurality, 40 percent, say Sen. Mark UdallMark UdallPicking 2018 candidates pits McConnell vs. GOP groups Gorsuch's critics, running out of arguments, falsely scream 'sexist' Election autopsy: Latinos favored Clinton more than exit polls showed MORE (D-Colo.) deserves reelection next year, while 30 percent feel the opposite. Republicans believe the race could be competitive, but the GOP has yet to front a candidate.

The Quinnipiac University poll was conducted among 1,065 registered voters from June 5-10 and has a margin of error of plus or minus 3 percentage points.