As an expert in the field of comic book characters and their adaptations, I can provide a detailed answer to your question.
Spider-Woman, a character with various incarnations in the Marvel Universe, has not been a member of the main team of The Avengers in the comics or the Marvel Cinematic Universe (MCU) as of my last update. However, there are different versions of Spider-Woman, and some have interacted with the Avengers or been associated with them in various storylines.
In the comics, Jessica Drew, the most well-known Spider-Woman, has been an ally to the Avengers and has been a member of other superhero teams like the New Avengers and the Avengers Academy, but she has not been a core member of the classic Avengers lineup.
In the MCU, the character of Jessica Drew/Spider-Woman has not appeared, and thus, she is not part of The Avengers in the films.
To summarize, while Spider-Woman has been an important character in the Marvel Universe and has connections to the Avengers, she has not been a member of The Avengers team.
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