I used Git Bash cmd tool to clone a repo from bitbucket. I did it that way because some authentification issues. Now I want an interface to work with it, not the cmd tool, and i found TortoiseHg for it. But i can't find a solution to attach Tortoise to the cloned repo.
How can I do that
If you used git bash to clone repo, you must be talking about git repo, not hg (mercurial) repo. Note that git and mercurial are not compatible technologies.
In that case, you should use TortoiseGit (not TortoiseHg!) to access your git repo - it will work right out of the box.