Writing forenames in kanji vs kana.

Usually when I see Nakajima's name written in Japanese, her surname is in kanji (中島) and her forename in kana (みゆき). I supposed みゆき was 美雪, beauty + snow; the other day I saw that on a website somewhere and felt more confident about it. But bikenglishさん tells me it's better to write it in kana. そうしようけど。。。どうしてだろうかなぁ。