Ron, I'm not sure why you would want to do that, unless that person is not related to you. The way to do it would be to edit the profile and remove any connections to parents, spouses, and children who are in your tree branch.
I looked at the profile and see that there are no dates for either birth or death. This is a violation of WikiTree's requirement that a profile cannot be created without at least one date. I assume that when you added this profile, you must have entered a date and have since removed it.
I also see that the profile's privacy level is open. That is only permissible for deceased persons, so you must have the death date status checked as "about/uncertain but nonliving" so with no death date the privacy level would automatically become unlisted unless there is a birth date that is more than 100 years ago. If the privacy level is Unlisted then it would only show as an unlisted person with no information at all showing.
Could you please provide more detail about the profile and why you want to hide it so we can properly advise you on the best way to accomplish this?