HP lost 'face' (credibility) and likely nothing will restore it
HP screwed up, abandoning all the principles of the founders, in it's handling of Hurd.
I haven't seen any substantial allegations with respect to the female, although HP claims Hurd spilt the beans about potential M & A that she was to assist with.
It is reasonable to acquaint an assistant with details of a project making this claim against Hurd a little weak.
Hurd diddled his expense claim by changing the actual description of items claimed for rather than trying to goose the totals to score extra cash, rather to expense items - false accounting in the strictest sense, not theft, though. Of course, do we know who actually prepared the expense claims?
In my experience many busy CEO's leave the mundane form filling to an assistant, who uses credit card slips as a basis and the CEO just signs off - likely without line by line checking.
What really wound HP up was when Hurd signed on with Oracle at which time HP lost all sense of proportion and simply went for revenge, a poor thing for any company.
The whole episode is a sad comment on HP's board of directors who abandoned all the ethics and business practices of Messrs. Hewlett and Packard. Shame on them.