Hi Mike,
Boss wants solution that auto-creates tickets based on incoming emails to that web mail account.
If ZenDesk is too expensive, check out FreshDesk and Zoho for cheaper alternatives.
If you go the build route, find an IMAP compatible control that works with VFP, create a dedicated account to receive mail, poll that account and use the IMAP component to parse the message into a structure you can process. Sounds easy, but gets complicated when you start to factor in non-text emails (RTF or HTML) and attachments.
If you're willing to expand your tool set for this project, Python has a built in IMAP library ("batteries included").
Good luck, Malcolm