I think it was very hard for the BofE to do anything else, tbh. Since the GFC, it's been pretty clear that the economy is basically held up by housing, and returning to the pre-2008 consensus of ~5% interest rates would've demolished it. They're "independent" in a loose sense. They still need to work with the government, and a decade of pathetic growth meant they couldn't increase rates without tanking demand and plunging homeowners into negative equity again.Yup - although people shouldn't read too much into the dollar vs pound. When oil and gas prices rise, the dollar gets stronger because it is the reserve currency - nothing anybody can do about that unless the BRICS or somebody else starts trading oil/gas in a different currency.
My criticism of the BoE (and other central banks) is that they went down the very low interest rates/Quantitative Easing route after the financial crisis and kicked the can down the road. Now it is time to pay the piper. Although, to be fair, politicians who refused to make any meaningful changes to the financial system and economy should take the bulk of the blame. We papered over the cracks.
The Bank of England hasn't been hawkish enough, but it's been pathetic economic performance caused by poor economic policy since 2008 that's caused this.