The problem is that there are a lot of bankers and economists who have spent their entire careers fighting inflation. That is what they are trained to do, find the first signs of inflation and hit it hard by pushing up rates. Those people are looking at the money supply expanding and expecting it to force up inflation at some point.
And they are right if you take a very big eventually in there. But the economy has to really recover first, and we are a long way from that. Inflation isn't very likely to take off until the economy gets going and unemployment goes down.
There is also a smaller, but influential, group of investment types who are hurt by the expanding money supply. The low interest rates in the US and the expanding money is causing the dollar to drop sharply, and this hurts some types of investments. For them, trying to get the government back to a real strong dollar policy with higher rates is just a matter of profits.
There are two big risks the Fed has to take into account. The risk of inflation if they leave rates too low too long, and the risk of killing recovery by pushing rates up too fast. Given the state of the economy, the first is small and the second large. Thus I think the Fed should wait until they see some actual inflation before raising rates.
The other concern the Fed has to consider is that printing this much money is crashing the value of the dollar. If the dollar gets so low that international investors begin to pull out of the dollar on a significant scale it will get ugly. But overall a weak dollar helps the US right now, so they want it as low as they can get it safely. Despite any claims by the government or the Fed otherwise, they like a weak dollar right now.
Jay