We could also justify Spider-Woman as a name here, but she does multiverse stuff in either case. I sort of feel like Spider Agility should be hyphenated but maybe that's Marvel's brainwashing.
Only issue I have is that "Plucky" doesn't seem like a great fit for her, personality-wise. I've found her kind of moody/depressing as a character, particularly in her later era, like in a perpetual "Spider-Person No More" spiral. (Also it's not a re-use.) I might lean more toward Self-Doubting or Tormented, even.