Swift project not segue-ing properly after Facebook login

The initial ViewController, LoginViewController.swift:

import UIKit

class LoginViewController: UIViewController, FBSDKLoginButtonDelegate {

    override func viewDidLoad() {
        super.viewDidLoad()
        // Do view setup here.

        if (FBSDKAccessToken.currentAccessToken() != nil)
        {
            // User is already logged in, do work such as go to next view controller.
            performSegueWithIdentifier("loginSegue", sender: nil)
            print("segued due to login")
        }
        else
        {
            let loginView : FBSDKLoginButton = FBSDKLoginButton()
            self.view.addSubview(loginView)
            loginView.center = self.view.center
            loginView.readPermissions = ["public_profile", "user_friends"]
            loginView.delegate = self
        }
    }
    
    func loginButton(loginButton: FBSDKLoginButton!, didCompleteWithResult result: FBSDKLoginManagerLoginResult!, error: NSError!) {
        print("User Logged In")
        if ((error) != nil)
        {
            // Process error
        }
        else if result.isCancelled {
            // Handle cancellations
        }
        else {
            // If you ask for multiple permissions at once, you
            // should check if specific permissions missing
            performSegueWithIdentifier("loginSegue", sender: nil)
            /*
            if result.grantedPermissions.contains("email")
            {
                // Do work
            }
            */
        }
    }
    
    func loginButtonDidLogOut(loginButton: FBSDKLoginButton!) {
        print("User Logged Out")
    }
    
}

"segued due to login" is printed to the terminal upon starting up the app every time, so the if-statement is clearly being reached and also the performSegueWithIdentifier() line. However, the segue is not actually performed as the LoginViewController stays on the screen and the next ViewController is not displayed. I have also tried adding the line:

    performSegueWithIdentifier("loginSegue", sender: nil)

in several other locations I know the program is reaching, like right after super.viewDidLoad(). So, the problem seems to be specific to the segue and the problem does not seem to be with Facebook's login.

Here's a storyboard screenshot with the segue's attributes:

I can include other files if needed. I suspect it could be a similar type bug as this stackoverflow problem. I have tried deleting the placeholders in my UITextViews in all of my ViewControllers, but this did not solve the problem.

Ok so here's how your application:didFinishLaunching:withOptions should look like.

func application(application: UIApplication, didFinishLaunchingWithOptions launchOptions: [NSObject: AnyObject]?) -> Bool {
    // Override point for customization after application launch.
    FBSDKApplicationDelegate.sharedInstance().application(application, didFinishLaunchingWithOptions: launchOptions)

    let mainStoryboard = UIStoryboard.init(name: "Main", bundle: nil)
    self.window = UIWindow(frame: UIScreen.mainScreen().bounds)
    var initialViewController: UIViewController

    if(FBSDKAccessToken.currentAccessToken() != nil){
        let vc = mainStoryboard.instantiateViewControllerWithIdentifier("someOtherViewController") as! SomeOtherViewController
        initialViewController = vc
    }else{
        initialViewController = mainStoryboard.instantiateViewControllerWithIdentifier("loginViewController")
    }

    self.window?.rootViewController = initialViewController

    self.window?.makeKeyAndVisible()

    return true
}