>>> "Is AirPrint different to Wireless?"
Erm, that's a yes and and a no!
When connecting a Windows PC or laptop to a printer, the computer needs to have to relevant Windows driver (for that particular make and model of printer) installed on it. That applies irrespective of whether the connection between the two devices is achieved via a cable or wirelessly, with a router forming a 'bridge' between the two. Windows drivers aren't compatible with mobile phones though, so that method of achieving a connection can't be used, even with a wireless printer.
Airprint is a variation on regular wireless connections, in that it's 'driverless'. Printers that are compatible with AirPrint can receive a signal, sent through a router, from any device (such as an iPhone) that's also compatible with the technology, without the need for a special driver to be installed on the sending device.
In order to be able to print directly from a phone using Airprint, you need BOTH a phone that's got a suitable app on it AND a printer that can work with Airprint instead of only with a Windows driver. Although your printer is 'wireless', meaning that you can connect it to your computer via your router in order for it to work with Windows, it doesn't have the Airprint capability built into it (so it can't recognise inputs from non-Windows devices)