Her geimei is written with a special old cursive form of 奈 that you can't actually type (yet. I saw on the wiki page it's been proposed to include them). You can see her name here
in her geimei is this hentaigana:
It looks like a cross between ち & ふ
I think 小なみ is a better choice than 小奈み because the na in her name, though based off a kanji, is technically a variant hiragana. You could contrive a poetic meaning behind it based off the 奈 kanji it derives from, but hentaigana are just a phonetic script which is why I hesitate to use the kanji.
Hentaigana are obsolete hiragana. Hiragana originates from man'yôgana which was an early Japanese writing system where Chinese characters were used, regardless of their meaning and (over time) simplified in a cursive style, to represent phonetic Japanese. So in the beginning there were several options for writing any one sound. In 1900 there was an official "script reform
" and one hiragana was chosen for every sound. The leftover characters were then called hentaigana, which literally means "variant kana". This app
is okay for learning the hentaigana by sight. (That's just the website but you can find it in app stores for free.)