Guanyin in the Various Schools of Buddhism?

I am a first generation Chinese immigrant living in New York City. As a child, I would go to Buddhist Temples in Chinatown with my grandparents, paying veneration especially to statues of Guanyin. About a decade ago I attended a taiko drum event at the New York Buddhist Church in Upper Manhattan. It is a place of worship for the Jodo Shinshu school of Pureland Buddhism. All I knew about that denomination was briefly from the writings of author, Robert Anton Wilson. So I was somewhat surprised when I saw that there were no statues of Guanyin in the place of worship. When I asked the attendees of the event, they stated that there are no Guanyin/Kanon statues at Jodo Shinshu temples. Flash forward a few months or maybe a year later, I go to visit the Wat Buddha Thai Thavorn Vanaram, a Thai Buddhist temple (I believe from the Dhammayuttika Nikaya order) and notice a familiar female statue. I ask some folks around and they tell me that is a statue of the female-presenting Guanyin (not the male-formed Avalokiteśvara). These events have somewhat confused me: I thought Guanyin was a major figure in nearly all schools of Mahayana Buddhism whereas her male incarnation of Avalokiteśvara is present in Theravada and some Vajrayana schools. So if you folks can humor new-be to this sub-Reddit, what denominations or schools of Buddhism is Guanyin found in the female form, what schools as Avalokiteśvara, and what schools not really present (in form) at all?