AIBU to ask what you would do if the cyclist in front of you

[MumOnABike]

stuck their hand out to the right

You either need to indicate right and then move into the centre of the road. Or move to the pavement, dismount and cross when it's safe. No one likes to slow down or block traffic but that is the safest and correct way to turn right. By moving left and indicating right you are confusing the drivers, i suggest you indicate your intentions early and then position yourself ready to turn right.

Ah, this is why I loved London so much - busy roads are always slow moving so you can cycle "assertively" (i.e. in the middle of the lane) without slowing down traffic. Means they can't try and overtake you when you're waiting to turn.

Who said anything about moving left? I don't, that I where I already am...unless i cycle half a mile up the road in the middle of the road which would be both wrong and dangerous!

As for moving to the pavement - not as easy as it sounds when there is no dropped curb

Right turns on a bike are about forward planning. You need to be aware of what is going on behind you, and take primary position on the road in advance of the turn to get yourself into the main stream of traffic. Once you have that, you can then indicate and pull into a position to make the turn, keeping an eye on any following traffic.

I have no problem holding up traffic behind me whilst waiting for the turn if it makes it safer for me.

The trouble is TrueBlueYorkshire that it is difficult and dangerous to move over to the right when signalling, if a driver is in a bit of a dreamworld and simply moves further right in order to overtake you. I've had drivers overtake into oncoming traffic in order to overtake me when I've moved over to the right of the lane after signalling, looking, double checking, etc..

I'm not sure where you get the moving left thing from. Why do you think someone would move left to turn right? As for going onto the pavement, time consuming and ok if you are a slowish cyclist, but if you are trying to get some fitness training or get to work some time that same day, not so good. And totally impractical if you cycle on roads where there are no pavements and safe places to cross - there are many roads like that round my way, where no pavements have been built on new roads or pavements dug up or allowed to deteriorate into nothing on older roads. Some roads are so damn narrow and full of fast continuous traffic with no pedestrian crossings either.

The problem around where I live is that the roads are much busier than they were designed for, or even 15 years ago, because the local council has granted planning permission for so many new build housing estates and out of town retail parks, without putting in any additional infrastructure, such as cycle paths. Its not exactly what I would describe as conducive to a healthy lifestyle.