Hello Lenich,
Don't get too confused about stuff like "neutralizers" which work for a very particular painting / palette style, but aren't really used in the style you are going for.
If you want to do an anime inspired style focus first on visual clarity.
Focus on strong vivid colors.
Focus on minimal shading (highlight, light, shadow, outline).
Focus on proportions.
Focus on making shapes appear 3dimensionally on the canvas.
What you need to consider is how each part contrasts with each other and as a whole.
You need to be really clear with the positioning of each bodypart (e.g. hands, feet, head) - your posing has some weaknesses as Mystery Meat already pointed out - it doesn't help to hide h ands and feet. If you aren't comfortable with drawing them, draw a lot of em to overcome this issue.
I'd say despite chibis have big eyes, your eyes are considerably too big. Also the eyes get bigger and more simplified the smaller the bodys gets and your style has a quite detailled body, so you want to use rather smaller eyes anyways.
And you also need to consider the overall color scheme.
Red and Purple traditionally don't go together really well. Both are rather warm and they are to close together in the color circle to provide a good contrast.
Here you could use gray as a color to bring out the part which matters for the character and where you want the viewer to look at after the first glance - the face.