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Your printer is asking for the iPhone's hotspot password. Go to Settings > Personal Hotspot. You can see the WiFi password ***** Use it to connect your printer to your iPhone's network.
If that didn't work, then enable hostpot on some other device. Connect both iPhone and Printer to the hostpot of that device. Then open the iPrint app and print. If you don't have the HP iPrint app on your iPhone, then download it from App Store.
If that didn't work, then reset the network settings of printer. On Printer, select Setup, select Network, and then select Restore Network Defaults. Then enable Wireless on your device. Then go to Settings > WiFi on your iPhone and do you see your printer's network there ?
The printer is asking for the WPA password. Right ?
On your iPhone, go to Settings > Personal Hotspot. You will see WiFi password ***** Change it to 8 or more characters only. Don't use any symbols. Then turn off Personal Hostpot and turn it on.
Then connect your printer to that network with the new passwrd. Does it connect ?