My daughter Hana will be taking your lesson today.
My daughter Hana will be studying with you today.
ーIt's nice to meet you. My daughter Hana will be taking your lesson today.
「初めまして。今日は娘のハナが授業を受けます。」
オンラインでも nice to meet you を使えますよ。
take your lesson で「あなたの授業を受ける」
ーHello, how are you today? My name is Akiko and this is my daughter Hana. She'll be studying with you today.
「こんにちは。お元気ですか?私は明子と言います。こっちは娘のハナです。今日あなたと一緒に学びます。」
study with you で「あなたと勉強する・学ぶ」
ご参考まで!