AnyMeeting lacks two important features.
First, there isn't any type of moderated Q&A tool. Yes, your attendees can submit questions and comments that only the host and presenters can see through a chat box. But there isn't a way to manage those submissions by deleting irrelevant questions or prioritizing or assigning the ones you want to use.
Second, as most webinar hosts know, having the ability to communicate privately with your presenters via chat is vital. AnyMeeting does provide this capability through the aforementioned presenter-only chat feature that attendees are using to submit Q&A, but that's the problem: it's very difficult to differentiate between attendee-submitted questions versus any important notes that the host or presenters need to quickly communicate to each other.
I'm hoping that AnyMeeting will continue to improve its product and release an update addressing these two issues in the near future.