That definitely shouldn’t be bent like that, I suppose you can Try very carefully bending it back in place with a very small tool as a solution and see if that works, other than that, completely replacing that connector entirely may be possible, though it is directly connected to the mainboard.
Yes I believe you should be able to just reconnect the wire into the slot of the motherboard where it goes, just take care when doing so to not damage anything.
you will have to just connect the screen but do not fully attach it to the phone, and plug in the charger, if the display does not light up with any charging icons you’ll have your answer. if it does light up then you can simply finish the replacement from there.
try putting it in the charger, and holding its power button for 8-10 seconds (I believe the button on the left) and see if a display appears. If not, it could be possible the battery is faulty. does it vibrate at all when you try to power it on?
