And not only did Black Canary not fight this (or continue her relationship with her now non-daughter), she even married the man for it!
Oh, come on. It's not like Black Canary can just teleport to Tibet. That would require fancy, shmancy alien technology, and, well, she's just not that corner of the DCU. In fairness to the writer I'm paraphrasing, the discussion where that comes from was in regards to why Oracle's spine couldn't be fixed, but I figure the same thing applies here...Black Canary just isn't in the kind of stories where teleportation is involved.