re coating a patch of wooden flooring
In an attempt to try to answer your question there are a couple of important additional pieces of information needed. This request for clarification is being put in answer space because there is no provision for showing a picture in the comment space.


First off need to know what caused the damage in the first place. Please be accurate as possible.
Secondly the photo shows a surprising number of defects in the floor which I have labeled as A to F in the picture below. What area are you thinking needs fixing?


Answers to these items are going to greatly inform useful answers that you are likely to get.