I agree I would like a simple to use computer, but Apple never admit any fault. It's always either me, the cable or the printer at fault, never the new Apple gadget.
That's because what you're describing doesn't reflect how computers actually work.
It sounds like you're not a technical person. That's not a criticism btw.
You mention cables. So you're not attempting to print wirelessly then.
Have you plugged any other device into the USB ports on your MacBook Air to see if they work? Like a flash drive, mouse, or anything else?
Because if another USB device works (and I'm almost positive it will), then your computer is not physically broken. The problem is in the software.
If it's a software problem, as almost all printer issues are, then suspicion falls on either HP's software or your installation of it. As others have said, printers are a pain to work with. All-in-one printers are the worst.
"But it works on my wife's computer" - great! What version of macOS is installed on your wife's computer? Is it exactly the same as the version that is installed on yours? What about the version of the printer driver software? Is it identical to what you're running on your MacBook Air? There are many, many things that could be different in the *software* between your wife's computer and yours that could be responsible for your trouble. If you've got a computer working with that printer, time to figure out why.
Your new Mac is going to come with a new version of macOS. Your wife's computer may be running an older version. Did you download the latest version of the drivers for your printer from HP's site? Or did you try to install the drivers that come in the box with the printer (which might be out of date for your operating systems).
The other people responding to your post aren't blaming the shiny new Apple gadget itself, because it is extremely unlikely that a physical defect in that computer is just going to affect your printer and nothing else. As for the software - that's another matter... and likely also not Apple's fault since they didn't make the printer *or* the printer drivers that you are trying to install.
Printers suck. This is a well-known fact that technically-literate people know from experience.
Apple makes a computer that is simple to use: the iPad. If you are having this much difficulty with your Mac, you may want to think about an iPad with a Magic Keyboard as an option. If its functionality won't cut it for you, then you're going to have to roll up your sleeves and dive in. Or find another printer that doesn't need as many drivers. I've got a Brother laser printer that cost me $80, doesn't go through ink like my old all-in-one, and doesn't need *any* drivers to work with my Mac.