Apparently Oaks aren't protected as a species but may be subject to Felling controls, Tree Preservation Orders, Conservation Area status and planning controls.
If your home is a HA property, it would be easier to let them deal with it .
According to this chart (about half way down the page), an Oak of 24m in height should be at least 30m from property.
I'm all for conservation, but that a homeowner or tenant can be forced to keep a tree which can damage property, TBH.