Good news: Prodigy season 2 was confirmed November 2021 and will also have 20 episodes! It will release later in 2023 and production is already underway.
So Star Trek Prodigy is an absolutely excellent show full of heart, wonderful storytelling, endearing characters, beauitful art and music, and a great balance of episodic and overarching storytelling that many of us have wanted Star Trek to find! Also there are some fun throwbacks that feel mostly purposeful and thought out and not too gratuitous! Lovely season 1, highy recommend to any Trek fan and hoping there will be a season 2!