Actually, it's four qualities to make a Strawhat.
- Dream
- Tragic Past
- Crew Position
- Strong bond with Luffy/ Luffy rescues character from an opponent
Carrot doesn't fit most of those. If Oda meant for Carrot to be nakama, he hasn't made much groundwork for it. In fact most of the pros for Carrot have been fan-made guesses. Like her being a lookout or her getting a df. It's desperation to have her stand out in some way. Instead you should be able to observe the nakama traits in a character to some degree.
I think that's the problem I have with nakama topics like this one. It's just throwing a bunch of stuff at the wall and hoping something sticks. The 11th is going to be someone Luffy not only cares for, but will go the extra mile no matter what for them. The only female who fits that mold on Wano right now is Tama, but she's technically too young... sadly.
And no before anyone says something, I don't subscribe to Lady Toki or Bonney showing up to save the day.
Lady Toki appears for all the world to be dead, and Bonney is nowhere near Wano. She's trying to rescue Kuma right now.