Although high profile - I would be very surprised if she was appointed to the top job.
Boards generally look for people with operational experience (not necessarily in the same industry or even a related industry mind), running a P&L account at the upper end of the hundreds of millions of revenue range at least before they'll even shortlist them for the corner office.
Even then it is actually quite hard for someone from a support function like marketing or
PR to transition into an operational role - privately, execs with P&L responsibility see them as lightweights.
If you can do it, the route is support function, then into a P&L role of around $300 mil per annum revenue, then another jump up to $600-700 mill revenue, then you might be in the league.
You also need to demonstrate you can run a complex business, preferably with multinational experience.
Big investors would also get the ****s with any candidate who didn't have that sort of experience under their belt.