Good morning coorsprgs,
Welcome to the community and thanks for posting. I'm sorry to hear this, but could I get more details please? Which inbox? Your HughesNet mail account? Are you checking it via webmail or via e-mail client like Outlook or Thunderbird?
How exactly was the inbox deleted? As far as I can tell, if you're using the HughesNet webmail, you cannot delete the inbox with a single click, one would have to select all the e-mail in the inbox and then delete. Even after that, deleted e-mails go into the Trash folder, which can be retrievable. If your e-mails are just in the Trash folder, you can hit Ctrl+A to select all the e-mail in the Trash, then drag them to your inbox.
However, anything that is emptied from the Trash is no longer retrievable.
Looking forward to hearing back.
Thanks,
Liz