The painter I know would have primed that door first with KILZ or Zinzer, even though it "says" pre-primed. And he certainly would have done a second coat. Its a great color. I have a bedroom that color.

As mentioned a good primer first and another coat of finish paint for sure is needed.

more coats and it will be good to go

Never add water to paint. If you need to "thin" the paint for workability or to stay wet longer, use Floetrol or Penetrol, both made by the Flood company (Floetrol for water based). Need a new can from SW and coat again. Before that, look at the back of the Sherwin color chip - they will show the recommended shade of gray primer to prevent what you are seeing. Pre-primed means white...deep colors need a gray to hide overlap marks.

One trick for the large flat areas - use a small hotdog roller to get a lot of paint on one section really quick - then use your brush to lay it down as you want. When you paint one brush load at a time on a large area, like the bottom panel, the paint starts to set up as you apply it. Then when you make the next pass, you start to lift the previous pass that is setting up. Makes the finish look gummy and rough.

Best of luck - I like the color.

I am sure your painter knows this needs another coat (or two).