How to remove material at an inclination?

I have a solid cylindrical object in which I need to make a through hole. The blue line in the attached image (front view of cylindrical structure) shows the axis of the hole.

How do I achieve this? Using remove material tool, I can only extrude in a particular plane and it is not possible to remove material at an inclination from flat base. I need the hollow structure to be inclined at 5 degree.

Thanks in advance.

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