I can think of a number well-known men who have become US citizens: Albert Einstein, Rupert Murdoch, Wernher von Braun, a few others. But I can’t think of any well-known naturalized women. Have there been any?
Marlene Dietrich.
Madeleine Albright
Arianna Huffington
Jennifer Granholm
Elaine Chao
Madeleine May Kunin
Martina Navratilova
Arianna Huffington
Ann Marget
Olivia de Havilland
Elizabeth Arden
Sheen Easton
Gloria Estefan
Zsa Zsa Gabor
Selma Hayek
Heidi Klum
Angela Landsbury
Yo Yo Ma
Alanis Morrisette
Oily Titz
Tracey Ulman
Monica Seles.
I wonder if Steffi Graf has become a citizen since marrying Agassi.
I must be missing something here. Or maybe he is.
We Asians all look the same to some people.
Catherine Bell
Pamela Anderson
Anna Kournikova (2010)
Mila Kunis (?)
Helen Reddy (1974)
Jessica Mitford
I think “naturalized” has a different meaning for her. 
Ayn Rand
Joan Chen actress The Last Emperor, Twin Peaks, etc
Nien Cheng, author of Life and Death in Shanghai
Le Ly Hayslip, author of When Heaven and Hell Changed Places
Thanks for all the answers everyone. That’s a lot more than I expected.
But I also realized I was interested in just a subset of these women. What I really want are women who became well-known before they were naturalized. That is, they went through the naturalization process as celebrities.
So Madeleine Albright (naturalized 1957) achieved fame in the 90s when appointed UN Ambassador and then Sec of State, so doesn’t qualify. Alanis Morrisette (naturalized 2005) was already a famous rocker and thus qualifies.
So how many of the above qualify?
Pam Anderson-Baywatch babe
The majority of these women seem to be from the field of entertainment and sports. No scientists, no writers, no engineers. But that’s probably just a reflection of the overall situation.
Golda Meir, born in Kiev, emigrated to Milwaukee, then to Israel.