Sounds like it, but I have no idea what any of that means. I went into component mode (you mean click the little button that says "Select by component type", right?) but didn't see a question mark anywhere.Yeah, but it's weird and confusing and why alias why.
Go into component mode, then select the question mark in the status line; this includes local rotation axis. Select the LRA, and then rotate it the desired position. Go back to object mode, and you should have your custom rotation axis if your rotate tool is in local.
Is that what you want?