You might want to, if she'll cooperate -- but you might also consider taking her to a doctor to check for some odd things that can also go wrong, such as blood sugar, thyroid, and the like. Think if her energy levels are different. Is this a big change suddenly, or has she always been a bit like this? Does she have different friends? Might she have gotten involved with drugs or a tough crowd? Is there something in her life that might be bothering her or something in the family dynamics that might be suffocating her? She could just be going through a rebellious period, but you don't mention her age. Eventually, every smart kid is going to go through some period where parents become the enemy -- I'm sure you went through something like that at some point, but this behavior sounds abnormal. You're right to be concerned.
Then I would take her to see a professional. It sounds like she might be gay and might be having a tough time without telling you about it. Who knows? 16 is a crazy age to begin with. But I'd be worried about her aggressive behavior and not talking it out with you. It might be nothing, but you don't want this to become something chronic if it is something emotional bothering her. Good luck, this won't be fun!