Fed raises interest rates if they are concerned about inflation. They are reluctant to raise interest rates because that works by lowering demand in the economy, which means slower growth and higher unemployment. If the problem is supply higher interest rates will actually make it harder for supply chains, and prices to adjust and make productivity increasing investments.
Can't leave out the fact rising interest rates would put a huge strain on the national budget. How much extra would a half a point increase be on 30 trillion?