Fixing a small area is a multi-step process (a number of visits), and it's hard to make any money doint that.

Have you considered DIY?

In any event the repaired area will probably look different than the rest of the floor.

I'm afraid I'd make a mess doing DIY. Oy... the kitchen floor runs into the dining room, which runs into the livingroom, which runs into the hallway... I could see this being a big expense.

Options:
1. Bite the bullet, do a little online research, and acquire some DIY skills.
2. Get a nice, decorative floor mat to put in front of the dishwasher to conceal the damage. We have a bamboo mat for precisely this reason. And, even if you repair it, you might end up with a new damaged area in the future in this location anyway.
3. Pay a professional to redo the spot (will be costly, given what's involved even for a small spot).
4. Pay a professional to redo the whole floor in only that room. If they are competent, they should be able to stop at the threshold into the next room, without creating an obvious difference (although it may require inlaying a new flooring strip at the transition point(s).

I've got my first professional coming tomorrow to look at the floor -- fingers crossed! Open floor plan, so no thresholds.