I got very helpful information.
"Dead module was powered by 10v A/C"
"replacement module wants 10v D/C"
"Can I easily convert 10v a/c to d/c?"
Answer "Yes, but you'll want a capacitor and voltage regulator in addition to the diodes"
.... and I learned why 10v a/c with diodes to make 'dc' results in 14v not 10 --
I actually think providing more info would result in less helpful information, as, no doubt, "We need schematics" "Where's a data sheet?", when "can I convert 10v a/c to d/c easily?" got me an answer that was helpful & I learned a few things...
The fact that the old module was an lcd and new is an led seems superfluous, as the only single bit that I needed help with was getting 10v d/c out of 10v a/c...