I noticed when creating a Trello Workspace that it seems like all Trello users come up in the search. I find this really weird. I had no idea that people could look me up via my work account and find a profile picture I thought was private.
Some people don't have choices about what they use for work so forcing them to give up this level of privacy when they probably don't even know it isn't acceptable.
Is there a way to make my profile private?
There is a limit to how private everything can be. Your name must be shown but you can change that to anything you like.
Your email you should be able to make private and when you upload a profile picture you should be able to make it so only you and the admins from your workspace can see it. Unfortunately, you can't restrict the privacy any more than that unless you are an unmanaged user (not part of a company).