This game reminds me of Atari's Missile Command, a classic defense game. I do not feel this game runs far enough with the "only one" theme, given that the player is the only defender in most games of this genre.
Fair point about the theme. I was trying to highlight the "one person" aspect with having too much to do with too little time, but it definitely is as mechanically suited for the theme. Thanks for the feedback and giving it a shot!