Cross stitch photo to pattern converter?

[KittensConsole]

Not sure if this is the right forum ( I just assume it is since it is the section about cross stitch ) But I am running into a sort of problem you could say. I randomly felt the need to cross stitch, but I want to make something that I have interest in. I wanted to do a cross stitch of a photo I have from an anime. I searched online for a free software to do this or a site for it that would give me a dmc thread list and such. After searching for a few hours I have come up with nothing. I found a few that do work somewhat well but my main issue I am having is the softwares/sites are discoloring the photo, The photo is from kill la kill and it's ryuko matoi before she synchronizes with senketsu. Her outfit is a blackish/red mix. After the photo conversion it changes her outfit to a brownish color.

Does anyone have a suggestion possibly of a site/conversion I can use? Using generic searches such as "Cross stitch photo converter" "cross stitch software" "cross stitch pattern creater" etc, I have searched the first 2 pages of these topics. I am only wanting a free method, most of the softwares I have found are waaay out of budget for me as I only cross stitch as a relaxing every now and then hobby. If you know of a software that can do a perfect pixel to stitch conversion for only $20 or less then that would be perfect. Any free suggestions would also be appreciated.

-> also added the photo if anyone wants to try it on the site/software before suggesting. Thanks again if anyone helps out!

Also if possible a RBG to DMC conversion table? I would like one that is in numerical order or has a search bar.