Advice on wiring connector

Can anybody tell me how to reattach this connector (and what it is), see pics. I had to unplug this for room to install a Mountune Quick Shift part (needed room to get the ratchet under the shift bar). I came out just fine, but now trying to reconnect it it seems the pins do not want to insert into the plug.

Seal is probably out of place. Ran into a similar issue with one of the headlamp plugs.
Use your cell phone cam to peak into places your peepers can't reach.
Might experiment with trying to reach from underneath.
Pull the plug and get a better look inside the plug and jack on the other end.
Make sure the seal is properly seated and the male pins aren't bent.

Sorry to threadjack, PM if you want, but what happened here? Because one of my low beams keeps going in and out, wiggling the connector fixes it temporarily, and all the pins look completely fine, male and female, and it is driving me insane.

I killed way more time over multiple attempts fooling with that, than I care to admit. I don't like "hackery" type solutions and try to keep things relatively OEM. In the end I just took the damn seal out and compensated with a ton of dielectric grease. Typically you want to keep the stuff off the contacts and on the seals, but when there are no seals, best to go ahead and put in/on/around the contacts.

EDIT: I did compare the left and right headlamp plug seals and besides the one being a little "tweaked", they were in the same position. A pick will be a handy tool for moving the seal around.

Okay, but it sounds like you were having the same/similar problem as I am describing, yes? I think one of my little retaining clips is broken, which I can't imagine is helping things. I'll probably grab a new plug/connector from eBay or a junkyard and then just dielectric grease the hell out of it IF I am understanding you correctly.

Yes, should be able to find a replacement connector on Amazon or Alibaba. Google Lens cell phone app helped me identify a few connectors before.
Forget what I used on a prior car but found something to wedge in a broken cam sensor connector. (wasn't a safety item on that engine like it may be on this one) IIRC might've been a short piece of stiff wire.
Other alternative to thread a tiny screw or two, just on the connector you intend to replace. It will jamb up against the mating surface and keep the plug in place.
Presumably with a new connector, it would seat properly. My connector wasn't broken, it's just that no matter what I did, the seal was preventing the connector from seating properly. So I just removed the seal altogether and compensated with copious amounts of dielectric grease. With the seal, it just wouldn't plug in no matter how much force I used or how I positioned and readjusted the seal. A