It depends how Hunter has set up the storefront. It could be automated to process the order and charge the card immediately for security reasons (like not keeping your credit info on his computer) and then (being a one man show) he fills the order as soon as he sees it, which would normally be within a few hours. But these are not normal times.
And I agree, if Hunter decided to take a break from the business it would have been best to throw the switch and close down the online orders. I can only imagine he thought he could still handle them through this crisis and that the money would be needed to keep this site and QLI from dying.
From everything I've seen, don't expect an answer to the email. From my own personal experience Hunter will deliver. I just can't say how long it will take.
My best advice is record the specifics (order date, email address used, password if needed, items ordered, payment details) and drop an email and/or snail mail of that to Hunter every month or so.