Sen. Kirsten GillibrandKirsten GillibrandMcCain to support waiver for Mattis, Trump team says Dem senator comes out against waiver for Mattis to be Defense head Dem senator on Sessions: 'I don't know how he can be attorney general' MORE (D-N.Y.) may be headed for a tough reelection bid in 2010, according to a new, independent poll released Monday.

35 percent of voters told this month's Siena Poll of New Yorkers that they would prefer to vote for someone else in 2010, compared to 24 percent who said she deserved reelection. 41 percent were unsure.

Gillibrand has faced poor public opinion numbers since she was appointed by New York Gov. David Paterson (D) after a prolonged and controversial process to fill the Senate seat vacated by now-Secretary of State Hillary ClintonHillary Rodham ClintonSanders vs. Trump: The battle of the bully pulpit Seth MacFarlane: 'Trump is not of the people’ Eric Trump to Arab-American comic: Come on, you really think we'll have a Muslim registry? MORE.

Still, a plurality of New Yorkers who responded view the freshman senator positively. 29 percent have a favorable opinion of Gillibrand (down from 33 percent in May), compared to 20 percent who have an unfavorable opinion. 52 percent of respondents didn't know or had no opinion.

Democrats have managed, though, to clear the primary field for Gillibrand so she can focus on bucking up for her Republican challenger.

Two of those potential challengers, former Gov. George Patacki (R) and Rep. Peter King (R), would face slightly different prospects out of the gate against Gillibrand, the poll found.

42 percent of New Yorkers would prefer Patacki over Gillibrand, in a test of a hypothetical matchup, with 18 percent undecided.

Gillibrand leads King 46-24, by contrast, with 30 percent undecided.

The Siena Poll, conducted August 17-20, has a 3.9 percent margin of error.