This is story related and cannot be missed. You need 100 guild seals in other to finish this quest.
Having said that, the best way to gain those 100 seals is by doing the quest "The Game", this will give you 40 seals and the following achievement:
After this, instead of doing other quests, you can go for the achievement:
For this you have to befriend 20 people. First you interact with them, and usually after 3 emotes they have a fetch/dig up quest for you. While doing this you also work toward the achievement to dig up 50 items. After the 17th or 18th friend you should have enough seals for The Resistance, just a few more and you will get The Popularity Contest achievement aswell :)
*** Spoiler - click to reveal ***Another reason to do the befriend quest now is because you will become king later, and everyone will like you, it becomes a pain to do that quest then.