And Florida won't mess around with this. When CPS gets a whif that the custodial parent is knowingly and willingly bringing a convicted child predator under her roof with the child, the child could be yanked out of there so fast that no one will even hear the knock on the door until the child is long gone. If this is Seminole County, it could happen same day (their CPS runs via the sheriff's office rather than through the state offices and they don't mess around). Regardless, CPS in ALL parts of FL acts faster and more aggressively on "failure to protect" cases than almost any other. They also can and will over-ride what some random probation officer thinks, if they have reason to do so.
However, DFS/CPS may not even HAVE the case yet, so... BEFORE bothering to do ANYTHING else, pick up the phone and report this set of circumstances to DFS at 800-962-2873. They will be able to check out his sex offender status and exact terms of release. If there IS any notation as part of his release that says he can't be around children, child protective services will make the decision about who lives there FOR mom. They can also initiate their own pleadings with the court on behalf of the child to appeal the terms of the probation or move for more drastic action (removal) to be taken in the best interest of the child, beyond the terms the criminal court has laid out for the defendant.
(As Prosperpina pointed out, orders regarding the defendant were put in place by the CRIMINAL court, but the CHILD, via the NCP and via CPS/DFS, can have protections implemented by the FAMILY court as well, making sure there are no "gaps" in protecting the child. Sometimes it just needs to be brought to their attention, as the family courts and the criminal courts are infamous for NOT communicating well with each other.)