Inclusion of statistics
Nice work writing this all out! Typically, statistics wouldn't appear in the discussion section, so you may want to consider either moving this to somewhere in the results section, or taking out the statistics and making it completely verbal.
I think this is a good start and you are showing a good understanding of what we've found. I'd suggest this section be more like a summary of the results - so it will be a bit more brief, and (as Lauren suggests) using words rather than statistics.
I added a section on the gender differences in gender diagnosticity scores. However, should I remove the mean scores seeing how this section is not supposed to contain stats?
Yes, you could remove the actual scores from this section and just note that they are similar in magnitude.