Quoted from the article:
Rep. Bill Pascrell (D-N.J.), a Clinton backer, offered another set of criteria he hopes will guide the search. Pascrell said the Democrats should be eyeing a more moderate figure — perhaps even a Republican — who can build bridges in regions where support for the Democrats has eroded.
This would be an interesting scenario. Go for it.
If she's going to choose a Republican, or at least a former Republican, she would need to at least choose a progressive one, like Lincoln Chafee, lest the Democratic base stay home.