Her name 'Ayano' in Japanese is written as あやの in hiragana (アヤノ in katakana).
Īyano is nicknamed 'Yan-chan' by other students (probably by 'yan' in 'Ayano' and not because of 'Yandere-chan'), but teachers will refer to her by either her surname or full name. He leaned towards Ayano, because there are fewer Google searches for that name. However, he resigned from this idea, and decided that her name would include 'yan' in it somewhere. One of YandereDev's first ideas about Yandere-chan's name was that it could mean 'Murder', for which he suggested Satsu Jinsha or Jinsha Satsu. YandereDev originally did not want to name Ayano, as he believed that a name was unimportant, but he later changed his mind.