She will most certainly run. Her gargantuan ego will not permit otherwise.
Remember, Hillary is as socialist as they get:
"Many of you are well enough off that ... the tax cuts may have helped you. We're saying that for America to get back on track, we're probably going to cut that short and not give it to you. We're going to take things away from you on behalf of the common good."
-June 28, 2004-San Francisco Democratic (socialist party) fundraiser