My daughter hates being the one who restarts after conceding

I’d encourage her to take some, but without turning it into “you have to be brave now”. You could agree something small before the game: “If you feel okay, take one restart today.” Then when that moment comes, remind her quietly rather than announcing it to everybody. If she loses the ball, the reaction afterwards matters more than the restart itself. Keep it normal. No sympathy, no big coaching speech, just get back into the game. She may also feel safer if she knows she has two choices rather than one: look for a teammate or dribble if there is space. Over time you want the restart to stop feeling like a test. One successful experience might help, but so can one unsuccessful experience where she realises nothing terrible happened.