Team sports

I grew up playing and loving team sports and I believe that it's helped shape who I am today. My 9 year old, however, doesn't like any team sports. I enrolled her in volleyball, and she hated it. Baseball, basketball, she hated it. She really enjoys gymnastics and theatre. My question is....is playing a team sport a critical part of growing up? Would this jeaoparizise her skills on being a team player?