Please delete

How about a few trees. Obviously won't fix your problem immediately but long term it will benefit the property.

Level all those low spots with sand.

If it is Bermuda then there is no need to resod. Do you know what’s under there? If it isn’t supposed to wake up for another 3-4 weeks, I’d glyphosate the whole yard. I don’t know your climate.

Slow your roll on the re sodding that may not be needed. Everyone’s yard looks pretty crappy on the Northshore right now unless they put down winter rye.

As others have said, bring in an expert to deal with the drainage issue first. After that I’d hire someone to spray for weeds and fertilize throughout the year and see where you’re at next summer before you decide to re sod. You may be surprised.

How much rain does it take to create standing water? Is her yard significantly lower than her neighbors? Do her neighbors have a lot of standing water?

I had a much larger issue with standing water and brought in a landscaper to level and install a french drain. His response was, I would be more than happy to take an extra $3-5k from you, but once you add a few trucks of mud and resod your standing water issue will go away. I had by far the lowest yard amongst all of my neighbors.

I would start with leveling the yard and seeing how it handles standing water before working on a french drain. Even if you go that route, if the yard is really low, they will need to raise it first anyway