If you do end up cutting your own lock, the thing that follows is that your bike is now unsecured in a place where somebody has taken an interest in it.
So have the replacement ready before you cut. Either bring a second lock with you, or arrange to move the bike straight into somewhere secure. Cutting free and then riding home is fine; cutting free and re-locking it in the same spot with nothing but a cable is how the second version of this story ends.
And if the deliberate reading is right, do not use that spot again for a while.