Uhh...that scar,does anyone know, if it will heal or at least become less conspicuous

My sister recieved a scar like that too... 25 years later, her scar is still completely visible on her cheek. Ran's scar may dull or even completely fade away (because of manga logic) but realistically, a scar that goes untreated or is purposefully left to be visually present will not fade away naturally.