I'm sorry you are going through this. I would STRONGLY advise that you re-home her to someone with cockatoo experience. As you probably know, they get re-homed more than any other parrot because of their unique tendencies/personalities...So if someone isn't well acquainted with them (even if they have had other birds) it would be a no-go for me (just because this transition is going to be hard for your bird, and for it to happen again is a risk I wouldn't want to take).
So, again, just emphasizing the fact that many people THINK they are prepared to have one because they have had other birds etc, but in order to prevent another re-homing situation, your best bet would be someone with cockatoo experience or a rescue/sanctuary (especially because there are so many cockatoos in rescues, that they are used to them)
I probably would not trust re-homing your cockatoo to an individual online unless I was 500% certain of them because cockatoos are so unique and if you pick the right rescue, they have their own methods for screening and often have policies on re-homing after adoption, do home-visits etc. Not all rescues are equal, but a good one could be a sort of safety net.
If you do decide to re-home to an individual, here are some things to consider (it's a copy and paste from another recent post):
There are MANY very excellent bird owners on here and lots of really knowledgeable people, be really careful when setting up a re-home online ***it sounds like you already are--- but just wanted to highlight a few things ***. There are people out there in the world who hoard them, flip them or farm them. I'd probably avoid CraigsList unless you are prepared to be a SUPER detective (that is a hot-bed for scams)....Most active members with a decent post history are here without pretense,but for the sake of your bird, you need to do lots of research (even then) on the person taking them, find out if they have other birds (as there is disease and behavioral risk), if they have an avian vet near them, whether they use teflon/ptfe/pfoas/pfcs in the home...what they do to clean (as 99% of cleaning chemicals are not safe for them and can cause cumulative damage) , if they have had parrots, if they have ever re-homed a parrot and why etc etc etc.
There have even been flippers on this forum (and this is a great place) but if someone ONLY ever posts looking for birds, or if their first post is asking about your bird, I would be skeptical. I would be VERY careful. I am not saying a new member is automatically bad (we were all new once) but most of the time, members do not make their first post: "I am looking for a cockatoo...conure whatever"...Again, not saying someone who does this is bad, but you really need to make sure you take a lot of care, as this bird is in your care, and didn't choose this situation...Best to make sure he/she goes to a knowledgeable home with a person who KNOWS PARROTS---- so many people who have never had birds want them, only to re-home again (and that is really hard on the bird)...also-- if someone lives in an apartment, that is another risk for your bird (not only because they can get re-homed due to noise and damage, but also because in apartments, smoking neighbors and teflon etc can be out of the owner's control).
Also, if someone sends you pictures of "their" setup, cage, "other birds" etc, I would ask for a video of them holding a sign that says a unique phrase (as many flippers will post pictures of other people's birds/cages in an effort to collect more for a profit or inhumane breeding efforts...and hoarding is a mental disorder (so those people often do the same).
Someone in the business of collecting, flipping etc will try to provide "proof" that they are a "great " candidate (because they want your bird and do this often), but you must dig deeper to confirm this..Don't trust a few pictures etc etc