I'm honestly kind of curious on how Toph raised Lin. We all know Toph was a very tough girl so it is possible she became a strict parent. She had to teach Lin how to Earthbend and metal bend so it would be understandable if she was strict. but if she was strict that really would make her a hypocrite. She HATED when her parents did that to her when she was a kid, tried to control her all the time. So if you didn't like something why put your child through the exact same thing. We will be learning more about her in book 3 so i guess well find out.