The profile you linked is of a living person and a volunteer genealogist, so not sure if you are trying to edit his profile (which you should not do) or if that is the profile manager you requested trusted list access from.
Assuming the latter, if you are just having trouble accessing the edit function on a particular profile, it may just be a matter of having to log out and in again to the site or else refreshing the profile page (this has happened to me a few times). You can see if you are trusted listed by clicking on the privacy tab at the top of the profile.
If this is an issue regarding a dispute of information, best to discuss the situation with the profile manager by private message and hopefully come to an agreement. If any difficulties arise, contact info@wikitree. :-)