If my house I'd remove the existing programmer and install the BDR91 in its place. Remove the existing wall thermostat, link the live to the switched live so BDR91 can call for heat, and stick a blanking plate over.
Alternatively, fit the BDR91 next to the zone valve (assuming you've got one) and leave the thermostat cable as permanent live. This gives you somewhere to mount and charge the controller.