ST. PAUL, Minn. - Senator Barack Obama will increasingly lean on prominent Democratic women to undercut Gov. Sarah Palin and Senator John McCain , dispatching Senator Hillary Rodham Clinton to Florida on Monday and creating a rapid-response team to deploy female surrogates to battleground states, Obama advisers said on Thursday. Mrs. Clinton’s campaign event in Florida, her first for Mr. Obama since the Democratic convention last month, will include a forceful response to the searing attacks and fresh burst of energy that Ms. Palin injected into the race with her convention speech on Wednesday night, Obama aides said.