Maybe it'll be implemented in the future to fully block said person from seeing your blogs and commenting
I'm not sure what Steemit's plans are regarding the mute functionality, but it is important to understand that it is impossible to prevent anyone from reading your public blogs.
I think most likely all it will do is simply hide the muted account's posts and comments from your view on steemit.com so that you don't have to be tempted by identified trolls.
that would probably be enough. And yes you're right. I just read a whole article on dealing with trolls as a blogger and I feel a lot more equipped to deal with this situation in the future. I would like the comments hidden though so I don't see hurtful comments mocking my posts. But I plan to toughen up and take it in the mean time. I won't it stifle my voice and I will try to develop a thicker skin. :)