The Constitution doesn't say whether it can be taken away or not. Anything not in the Constitution is for the government to decide. It also doesn't say that Citizenship is a right, like the right to free speech and the right to bare arms. If it were a right it would have been explicitly described that way with the other rights. Instead, it merely outlines who qualifies for citizenship.
Perhaps you should take another gander at the 14th amendment:
Fourteenth Amendment
Section 1
All persons born or naturalized in the United States, and subject to the jurisdiction thereof, are citizens of the United States and of the State wherein they reside. No State shall make or enforce any law which shall abridge the privileges or immunities of citizens of the United States; nor shall any State deprive any person of life, liberty, or property, without due process of law; nor deny to any person within its jurisdiction the equal protection of the laws.
It says that if you're born in the US, then you are a citizen. That sounds like a right to me. On the other hand, citizenship through immigration is a privilege that can be revoked under certain conditions. If the constitution doesn't say that birthright citizenship can be revoked, then you shouldn't assume that it can.
This whole Rosie O'Donnell nonsense is just that, nonsense. It's just another attempt to distract from the Epstein fiasco.