Can't tell from here how bad it's screwed up.
Cross threading pushes or bends the metal away from its desired position. A standard tap will cut away the deformed metal. You will have to deal with metal chip control, and of course the metal removed makes the installation significantly weaker.
A possibly better solution is the push the metal back into position without removing it. This is called thread rolling rather than thread cutting.
I have been able the roll threads back into proper position on occasion. I used an old spark plug, first cleaning and chasing the threads on it with the correct die. The steel threads on it are tougher than the aluminum head.
Indexing the thread beginning is the tough or luck part. Plus you must be certain that the plug is started perpendicular to the spark plug seating surface.
Indexing is automatic if you thread from the opposite end (from the combustion chamber side).
But often, there is enough material left at beginning of thread to start the plug in the correct remaining groove instead of the one you cross threaded. Oil the plug threads well, start and force the plug into the threads at the correct 90 degrees to the plug seating surface. Go one quarter turn at a time. Back off to get oil into the thread forefront and repeat.
This method is not without risk. If the plug does not index correctly it can seize and removal will take out enough head material to require a timesert.
http://www.timesert.com/html/mtrcsert.htmlHowever, when it does work, once you get past the buggared thread portion, it screws in easily, and slightly over tightening the spark plug realigns all the threads without cutting.
Clean all the oil off the threads before putting the real spark plugs in. The heat can turn the oil to glue and when the spark plug come out next time so do the aluminum threads. Anti seize is your best bet for steel plug installation into aluminum material.
You didn't say which position you cross threaded. Number two or number three positions need a tapered socket to correctly align the plug 90 degrees to the plug gasket sealing surface.
best of luck!