Apple ID and password !!!!

i Received an email I thought it was from Apple saying My Apple ID was locked ....And for me to click on it and change my password so I did after I did it I went up to the area that you could usually click on that and could pick a subject and it didn’t do anything and I scrolled around the rest of the area and I figured I was hacked or someone was getting into my account so I change my Apple ID pass word but do I need to change my Apple ID too ???? Please help!