I am assuming you just put the eggs in today, so this is day 1 of incubation? I would not be panicking about the humidity being too high, just let it come down naturally over the next few days. 45% or 40% or whatever you are aiming for needs to be the average for the whole incubation, if they spend a day at 60 then a day at 50 then day at 40 it will level out at average of 50....so just let them drop down a bit below where you want to be and it will even out.
That's what I do anyhow and finally now seem to be getting on top of the whole humidity thing. Most of my bators go straight up to around 55% or 60% when I first set the eggs, I just let them sort things out for a few days. Our last hatch completed today achieved 90% hatch rate, this is the first one where I have aimed for an average humidity of 35% - going up to 70% if I can get it that high at lockdown. The chicks emerged much easier and much dryer than they have in the past so I will definitely be aiming to keep batches lower in humidity from now on.
I wouldn't be worried about taking them out, letting the temp of the eggs drop would likely be more of a drama than the humidity. I'm yet to meet a broody hen that comes with a hygrometer yet they manage to hatch eggs all the time!