You can Persuade (15) Reed to step down or you can kill Reed by attacking him. If Parvati is in your group she will freak out if you kill him and she'll tell you she needs to leave. You can Determination (10) to keep her from leaving.

Should you remove Reed from Edgewater?

Remove Reed from Edgewater

This is a risky option, because the two guards in Reed's office will start attacking you. Parvati will also try to leave your party if kill Reed and you don't have 10 Determination to convince her to stay.

Do I help Reed or Adelaide?

Reed will humbly recognize that Adelaide is a better fit for the colony and step aside. If you kill him, you have to kill his guards too. And you risk losing Parvati as a companion if you don't have 10 Determination to convince her that murdering her boss in cold blood in front of her isn't that big a deal.