It is possible that you may see different information and/or have different editing capabilities on the profile page depending on the context in which you view the profile.
You have a public profile, which anyone can see. Click View Public Profile to see this information as others see it.
If you view your profile on a site you are member of, editing the tree might not be allowed:
If you click on the View Profile button for someone in the family tree where you are Site Manager, you’ll see more detailed information and have more editing capabilities: