I second Sven's comments there. Even if I get an old radio which is way beyond reasonable repair, there are still parts likely to be worth salvaging. (Have you seen the price of new tuning condensers these days, even if you can locate the type you want?)

You may well be able to find a suitable working xfmr in another old set which is not worth repairing and make use of it, although the mchanical mounting and spacing arrangements may need a little ingenuity.

By the way, which winding of the xfmr is gone? Primary, LT, or HT?