This lot will probably not fit a tennis court as it is. There are several things working against it. One is that the house hogs the lot. Another is that the pool blocks the only place where a court might fit.
A tennis court is 120 feet long. The minimum setback from any property line is 50 feet. That would mean that you would need 50 feet + 120 feet + at least ten feet from pool or house = 180 feet. From the looks of it you have maybe 120 feet from the back of the pool to the back of the property.
If this lot were just a hundred square feet smaller, and under 84,000 square feet, the setbacks for a tennis court would be 50 feet. However, the lot is over the cutoff at 84,071 square feet. Therefore the setbacks will be 60 feet. That would make it even tighter.
You might be able to fit a court if you moved the pool. If tennis is important to you, that could be an option, albeit an expensive one.