NEW : O'Donnell says she 'll win without establishment National Republicans support if it 's not offered . O'Donnell , backed by GOP , beats Rep. Mike Castle in GOP primary for GOP . O'Donnell on Tuesday night thanked her supporters , including Tea Party groups , saying they `` rallied everyday Americans outside of the political establishment , [ got ] them involved and created a grassroots network that made all of this possible . '' Top GOP official : Tea Party will be slow to rally around O'Donnell . Americans say O'Donnell win could help them keep a Senate seat .
NEW : O'Donnell says she 'll win without establishment National Republicans support if it 's not offered . O'Donnell , backed by GOP , beats Rep. Mike Castle in GOP primary for GOP . Top GOP official : Tea Party will be slow to rally around O'Donnell . Americans say O'Donnell win could help them keep a Senate seat .