People may object to AI in general, to their personal opinions about how everyone ought to live not being universally imposed, the lack of retributive justice, to people getting stuff without having to work as hard as they themselves had to, to the irrelevance of human government, to the fact that Sing can't manage some brain stuff and a different AI would be able to, to the fact that it can't run rescue sims and they were hoping that resurrection of the already dead would be feasible, to their campaigns of personal power that Sing obviates being for nothing, its disinterest in considering communities and groups qua communities and groups at the expense of any individuals, and the surveillance they will be subject to just by the presence of opted-in people if they go to any highly populated area containing the general public.
She isn't going to like its limited opt-outs or its failure to interact with any of her principles of political philosophy like voting.
No, mostly for children's-rights reasons.
Not in the sense she's thinking; nanotech proves intractable in the truly science fictional sense. All of its nano-stuff requires a directing AI that would have to be smuggled in software form, installed, and run. It doesn't do plagues.
There is brain damage it can freeze and hope to fix later but cannot fix now, and there is greater brain damage it is quite confident it won't be able to fix even later but freezes anyway just in case. Nine people have gotten too dead to get back since it was fully entrenched and they were all trying.
It can do a lot of things with really subtle conditioning and diet and music and weather and so on to get people to behave in different ways. Sufficiently extreme drugs are on a consent basis; it doesn't use them to modify people except insofar as it steers away people who will have bad reactions they don't want. It doesn't have enough confidence to do brain stuff but hopes to one day be able to do body map modifications to allow more morphological freedom, uploading, and some wetware-level cures for some conditions that are currently manageable only with more maintenance.
Alien AI, either performing a values handshake with it or just outright killing it. Learning to do brain stuff, doing enough brain stuff that humans could be superintelligences themselves, abdicating in their favor when they had their transhumanism all put together and would be fine without it. Sleeper AI rival from the Quiet War that it managed to miss which is set up to wake and take over in its place. The latter guess has been occluded now by the possibility of a sufficiently hypercognitive psion.
It prevents occasional people from having children if they will predictably harm the children modulo the range of personalities their child is likely to have and their parenting style's responsiveness to correction, or if they are going to have children with serious (mostly brain) problems it can't fix. It doesn't have to do this very often at all.
Assuming by "humans" she means "people", it has just those and instrumental Omohundro drives.
It depended on what the mathematicians wanted and whether they would respect what other mathematicians wanted (by not publishing spoilers).
There are currently about 14 billion humans; there was a pretty major demographic transition in the places that hadn't had one yet when it took over and people don't need to have kids on any urgent schedule any more so growth has slowed down even though no one's dying.
It is unpopular with the following interest groups, religions, and organizations: [list of twenty-three beginning with "Church of Certainty in Christ", continues through "Parents' Rights Earth", and ends with "Society of Modern Ludd"]