I don't think she'll ever fully break away from the X-Men. Remember that there is an X in her name. Plus I'm looking forward to that Venom arc, it would be the only time I get the Venom series.
@The Dark Huntress said:
She's also in the upcoming Circle of Four arc in Venom. So I don't think it's so much them trying to integrate her into the Avengers or any team specifically, so much as introduce her to the Marvel U in general, as was stated earlier.
She's still wearing her X-Force uniform... Does that mean that she still affiliates herself with the X-Men?