State Attorney General Mark Pryor likely stays out of the race upon hearing that the more popular First Lady wanted the Senate seat in Arkansas. If not, it's likely he'd lose to her. Pryor could always become a Representative from one of Arkansas' four Congressional Districts. If Pryor wins re-election as a Congressman enough times, he could challenge Senator John Boozman in the Senate Election of 2016. Hillary Clinton beats Senator Tim Hutchison by a comfortable margin because of her popularity and the fact that he is scandal-ridden.
Over in New York, the contest comes down between OTL's Republican Congressman Rick Lazio and Democrat Mark McMahon (Clinton's OTL opponent in the Democratic primaries). Because Arkansas' Senate terms are six years, Clinton would likely have to wait until 2012 or 2016 to run for president, or not make the promise to serve a full term at all and 'wing it' in 2008 against Senator Barack Obama of Illinois. Her inexperience will be a liability, though. If she won in either year (2008, 2012, 2016), ATL's Congressman Mark Pryor could seek out her Senate seat and probably win it, but could lose re-election to any Republican/Tea Party wave.