related & duplicate ideas:
Allow Tag's "Rotate with component" as an Instance Parameter [an alternate solution to free-rotation?]
allow (post-creation) free-rotation of tags (override 'Align with Element')
Tags and Text Part 8 - Allow Tag Rotation - Keep default behavior as-is, but allow for post-creation rotation (using the rotate tool) of all tags on an as-needed basis (so "Align with Element" only governs until "overidden" by the Rotate command)
Free rotation of tag - It would be great if column tag could be rotate free by the user, (not just hor. or vert.). Now i have to make a new family and set the angle in it.
tags rotation - allow rotation for tags & annotations; not only horizontal & vertical and there is no other options; I don't want to create anther families with different angles
Tags that can be free rotated [but maybe next idea would satisfy OP's needs] - It would be great to rotate tags with all categories as same as generic annotations. According to our standards, tex tags should be parallel to the element
Tags with a "Rotate With Component" option to actually rotate (casquatch comment: "This shouldn't be an "Idea", it should be a bug.")