OK, thanks for the clarification, there are two variants of the ecoTEC plus (VU and VUW) and it's difficult to tell them apart just from the circuit diagram. However under closer scrutiny I can't see that yours has an 'impeller sensor' anywhere which agrees with what you say.
So to install a Nest thermostat here are the steps I would follow:
1. Identify what each of the wires going to your existing programmer is for, by noting what terminal each wire is currently connected to, and what it actually does. If you don't have the instructions for it, or can't find them online, there should be a diagram showing this information fixed on the programmer somewhere. For example: 'Live' 'Neutral' 'Heating On' 'Hot Water On' 'Hot Water Off'. etc., identify the function of each wire and label them.
2. Once you have worked out what each wire does, then if you look at the Nest receiver instructions, you will find that it has terminals that have the same functions. Connect the wires to the terminals that carry out the same functions as those that they came from.
3. Any existing room thermostat will need to be decommissioned to prevent it will overriding the Nest. It can't just be disconnected, otherwise the heating wiring will be 'open circuit' and not operate. This can be done by tracing the wires back from the thermostat and finding where they originate from. Then disconnect them at their origin, and the two terminals where the switching wires came from should be joined together. Any neutral, if present can just be disconnected.
4. Mount the Nest thermostat and either wire it to T1 & T2 of the receiver to provide it with power, or use a separate plug in power supply.