Sue,
Just try to drop the pump section of the french drain deep enough and start pumping water out. Once you get this part working it will be much better.
It looks like you only need to go down a foot or so with the big bluegreen pipe.
The french drain should slope a bit to the pump part. If you cannot dig out anymore because of the water you could always go shallower... make the 4" pipe with holes in it slope to the pump section, raising the pipe and putting gravel around it as needed to accomplish this.
PD's schematic

Then the pump should be connected to a float valve and deep enough so it can come on (the float will engage) when the water is up to ...I dunno... 1/2 way up the pipe (just guessing).
This requires the bottom of the pump to be sitting a foot or so lower than the end of the pipe feeding water to it.
You should be able to start pumping out alot of the water that will collect here... it may take a week or more to get everything drier... but it wont get any better till you have the pump at the lowest point and actually turned on.

You shouldn't be seeing the french drain or water above it at this point. It should be covered with gravel. The water will be draining down the pipe to the lower pump section. and then be removed as it collects.
Until you have the drain in and working it will just be a natural pond

All you need to do is get that right side lower to really make some progress. Just a foot or so, you're well over 75% there, I am rooting for you!!!
