I'm assuming that pic is the front edge of the wheel well (hard to tell with the car covered in paper).
I'm not sure about the '64 Valiant specifically, but most A bodies have a fender brace going to that corner of the fender lip- many times you can gain additional clearance by lengthening that brace by 1/2, 3/4, or even a full inch. Play with it to see what works for you. Extending it by an inch or less isn't even noticeable appearance-wise. If your car doesn't use fender braces in that location, it might be a good excuse to add them.
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(Pic stolen from
@72bluNblu )