The Red Cross symbol is sui generis, it is not a (normal) trademark.
Use of the symbols in peace time is prohibited under Article 44 of the First Geneva Convention (except as allowed under that article).
>It's ridiculous to attempt to police the world for the use of it in a certain color.
It's protected because it protects medics, the wounded and other vulnerable non-combatants in war. It's a vital humanitarian tool.