From your picture, your existing thermostat only has two wires (& earth) coming from the boiler. There is no neutral at that point. ... For the wireless system you need 3 wires (& earth). ... As said before, it means a new cable, or the wireless base unit can be sited adjacent to the boiler ....
That's true for mains-powered wireless ones like the one which the OP has ordered (indeed, such a wireless one might conceivably even need 4 wires, if the boiler switching were not at 230V), but he seems prepared to entertain the possibility of getting a different one.
However, I'm not sure why 'everyone' has ignored my comments/suggestions about battery-powered wireless ones - which, as far as I can see, should only need the 2 wires which already exist at the stat location, and therefore should be an easy DIY job to install (basically just a straight swap for the current stat). Am I missing something??
Kind Regards, John