Washington (CNN) Rand Paul blew the launch of his presidential campaign by being sidetracked into a debate over abortion, the head of the Democratic National Committee and his sparring partner on the issue said Tuesday.

Rep. Debbie Wasserman Schultz, the DNC chair who's been trading barbs with the Kentucky Republican senator, took her latest shot at Paul during an interview with CNN's Wolf Blitzer.

She said he hasn't answered questions about whether he supports abortion rights in any cases -- and also criticized him for allowing the issue to derail a broader message.

"It's unlikely that voters are going to be deciding who they're going to vote for for president and whether a candidate has their back on this issue. It's more going to be jobs and the economy," Wasserman Schultz said.

And on those issues, she said: "Rand Paul failed that test on his first day as a candidate."

Read More