I don't think it is ever good to put pictures of you on your website. But there are some exceptions. I think, that if your photo is done on a setting that makes it look different, it is okay. Also, if the photo was shot very far away, and you can not see very clearly, that is okay too.
Here are some things that I think are not a good idea. If you write a caption above your picture that says things like your name, or your address. Or, if you have a very close up photo of your face, or body.