Angela Martine was a female Human Starfleet enlisted crewmember in the 23rd century. She served in the command division aboard the USS Enterprise from 2266 to 2267 under the command of Captain James T. Kirk, during an historic five-year mission that the starship undertook.
In 2266, Angela Martine was assigned to the forward phaser control room as a phaser gun crewmember. She was about to marry Robert Tomlinson, genuflecting in front of an altar at the start of the wedding, when the Enterprise received a distress call from one of numerous Earth outposts guarding the Romulan Neutral Zone. The wedding was consequently postponed. Martine was, shortly thereafter, devastated by the death of her fiancé, who inhaled a lethal quantity of phaser coolant while the Enterprise chased and crippled a Romulan Bird-of-Prey, which had been responsible for the attack. (TOS: "Balance of Terror")
In 2267, Martine was in an initial landing party to the Shore Leave Planet. She and Esteban Rodriguez were assigned a specimen survey. After completing the survey, Captain Kirk informed them that, once they had beamed the survey to Spock on the Enterprise, they could enjoy themselves on the planet. As they enjoyed themselves, they found themselves briefly trapped by a Bengal tiger. They managed to escape from the tiger, but were then strafed by a Japanese Zero. Presuming Angela dead, Rodriguez left her. In fact, she was taken below the planet's surface, where her injuries were healed; she reappeared while the planet's caretaker was explaining, to the rest of the Enterprise crewmembers, about the planet's function and how it operated. (TOS: "Shore Leave")
Angela Martine was portrayed by Barbara Baldavin.
The fact that Martine, unlike her fiance, briefly kneels before the altar was specified in the stage directions from the revised final draft script of "Balance of Terror". That teleplay mentioned that Tomlinson remains standing in accordance with "his beliefs", implying that Martine's genuflection in turn is in accordance with her beliefs – seemingly implying she is religious.
The character was named "Mary Teller" in the script of "Shore Leave", but when Barbara Baldavin was cast for this appearance, the character's first name was changed to "Angela". Since she was referred to as "Angela Martine" in one episode and "Angela Teller" in the other, The Star Trek Compendium credits her as "Angela Martine-Teller" for her latter appearance.
Barbara Baldavin also appeared in a scene which was eventually cut from "Space Seed". In the script of that episode, the role she played was called "Baker".  The scene in question was filmed on 21 December 1966.