Troubleshooting AirPrint on HP m201dw
The Windows PC isn't likely using AirPrint, at least not by default, so it's probably using another protocol such as IPP. Looking around I see there's a Bonjour Print Services for Windows utility from Apple. If you install that are you able to use Bonjour to print?

Have you checked for any firmware updates on the printer? Can you browse to the printer's web configuration page to confirm that AirPrint is enabled? Perhaps disable it, restart the printer, re-enable and then restart again?