Fallout Board Game: How to resolve card 16
I'm just guessing as I haven't played the game or read the rules.

It appears as though in order to place the shield you need to contact the Institute locations at that icon I can't quite make out.

Edit: Did some research, this link appears to say you should have added an additional institute location to the map in the previous quest?  https://boardgamegeek.com/thread/1893927/quest-states-simply-place-icon-map