You're lucky that all the pads survived, still not the easiest fix though as It definitely needs to be soldered if you want it to work.
You might be able to "drag solder" it by melting solder on your tip and adding lots of flux to the pins and quickly dragging the solder across them, this technique is usually used to solder ICs (chips) where the pins are really close which is basically the same problem - you can search for a more detailed explanation.
If you want to do it pin by pin you would be better off using a conical (pointy) tip but it looks like there's some room so you might get away with using the thin edge of a wide tip, if it's thin enough. You'll need some thin solder too, or maybe just some flux if there's enough on the pads/pins, it's hard to see from directly above.
