"I still have the inbox with e-mails showing but not accessable."
If the email is in your inbox it sounds like it has already been downloaded via Hotmail's DeltaSync protocol, described below, so I don't understand what you mean by "not accessible". What happens when you try to open an email in the inbox associated with your Hotmail account? DeltaSync - Wikipedia, the free encyclopedia
" Using the DeltaSync protocol, Microsoft intends to provide a common platform for any compatible device to implement a client which can two-way synchronize mail, contacts, calendar and notes."