What is the name of the Doctor's clone-daughter from the Tenth Doctor era? The answer is Jenny. She is created in the 2008 episode “The Doctor's Daughter,” during David Tennant's tenure as the Tenth Doctor.
Jenny is not a naturally born child. On the planet Messaline, human soldiers force the Doctor to place his hand into a progenation machine, which generates a fully grown clone from his genetic material. Donna Noble gives her the name Jenny, and the Doctor initially resists accepting her because she is programmed as a warrior and seems to embody the violence he rejects.
The episode gradually changes their relationship. Jenny learns from the Doctor that life should be protected rather than treated as expendable, while the Doctor begins to recognise her courage and compassion. She is shot while trying to protect him and appears to die, but the progenation energy in her body revives her. Jenny then leaves Messaline in a stolen spacecraft, opening the possibility of further adventures.
Rose Tyler, Clara Oswald and Susan Foreman are common alternatives, but none fits this question. Susan is the Doctor's granddaughter and an earlier companion; Jenny is the genetically created daughter associated with the Tenth Doctor.