It depends on where you live.
I live in Maine and so rainfall is not an issue. If it was me, and I wanted to use the field, I would just belly out a broad ditch headed towards the corner
fence post and allow the excess water to drain into that ravine. I would not waste good farmland on a
pond, but I have other areas better suited for that.
But if a person wants ducks, well you could try building a pond.
But it does not look like it would be a very hard issue to deal with no matter what you wanted to do with the field. Ditch to drain, or build a pond.
Subsoiling will not hurt anything either.