I'm not convinced that the BOE will need to raise interest rates to control inflation. Most of the inflation we are seeing isn't caused by increasing demand*(demand-pull inflation), but by increasing costs (cost-push inflation) and by a particular subtype of cost-push inflation: supply shock.
If we were in a time when there was plenty of money sloshing around and people were looking for things to spend it on, then raising interest rates would help to reduce demand and slow down the rise in inflation. Despite near full employment and rising wages, that's not the primary cause of the rises we're seeing imo. I think it's mainly supply-side disruption caused by the combination of war and sanctions.
The war in Ukraine and sanctions against Russia has reduced the supply of, and therefore increased the global price of oil, gas, wheat and CO2 (the last has led to a big rise in fertiliser prices, which may lead to farmers using less and a fall in yields, and therefore supply, plus it's used a lot in food packaging).
A rise in interest rates won't necessarily change any of that.
I think there's a real risk that increasing interest rates too far, too fast could tip us into recession and job losses, aka the dreaded stagflation. I just hope the MPC have strong nerves and steady hands.
This feels very different from previous periods of high inflation I've lived through during the 70s and 80s. And relying on interest rates to control inflation is a relatively new thing, which only started in the UK under Thatcher and her belief in the Friedmanite school of thinking.
I'm more fearful of our economic future than at any time in my 66 years.
*There may be a small increase in demand because wages have risen, but there's also a real possibility that, overall, wage increases will just be eaten up by inflation.