YES!!! Yeoman Martha Landon from "The Apple"
@Methuselah Flint Nice Job...Most of the clues you got exactly but here are my answers
1) "While I'm a member of Starfleet I am never seen aboard ship." (She is seen materializing on the planet, never seen on board)
2) "I am the only one of my kind, and also the last of my kind to be around." (Only
woman to beam down in the group of 6,(then later 3 more male security officers beam down) and she was last and only red shirt to survive ( 4 red shirt males got killed).
3) "I am left out of something special that happened to others." (all the male members get a flower lei around their wrists at the greeting....Landon did not, I guess because female?)
4) "I was a teacher of sorts and didn't realize it." ( While kissing Chekov, Sayana and Makora witnessed this and copied them learned this strange touching )
5) "Speaking of fights, I seem to be able to handle myself quite skillfully" (during the fight she took on two big Vaal guys, flipped one right over using an arm technique, and high kicked one in the head)
6)" My body language is odd, not sure if it was planned or from inexperience" (seen most of the time with her arms crossed in front of her, and a kind of snarl on her face, odd if you watch, was this because she was annoyed, scared, (look up meaning of body language) or maybe the actress didn't know what to do with her arms?)
7) "When I speak, I ask too many questions!" she asks..."How is it done?" "Will we be able to get back aboard?" "Will the ship break away?"
8) "I am asked to give my opinion on something specific.This leads to an amusing exchange between individuals." Kirk asked her...."Yeoman, speculate. What would happen if someone on this planet died?" and the funny scene with Spock stumbling thru an answer, with the faces of Kirk, McCoy being amused!
9) "An action with a specific member of the crew, was the first of several that took place during the series." She is the first to kiss Chekov in the series
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Sad in fact, Celeste Yarnall passed away on October 9th 2018 after being diagnosed with
stage 3 Ovarian cancer in 2014.
Here is/was her go fund me page with her story.
https://www.gofundme.com/f/kvo9xs