So, got under my car with an industrial hot air fan / blower. Tried to heat up and re-form the edge of the plastic shield.
That was rather hard. The plastic is some complex "Glass-filled polypropylene (???)" or similar composite. It doesn't get "soft" when hot, instead it turns into "grease with fiber". So, it is very "elastic". You straighten up one part of the edge — while the other gets "bulged" again! It took me several passes to fix everything up, all the time heads-up and "pushing the sky".
I think, if someone wanted to thermo-form this part, it would be much easier to take it off (a dozen of bolts and screws), and proceed in comfort place.
Anyway, after bending the edge up (to the bottom of the battery), the "crack" was almost gone. And, to the glory of Savage and Heinemann

, the roll of "Duct Tape" finished the deal!