Hey @Twowheelsgood, 
Thanks for your post and sorry for the trouble! You will need to do this on your home computer or laptop. You should be able to delete your routes on your routes page: https://www.strava.com/athlete/routes

If you are still having issues, please try a different browser. If that doesn't work, please submit a support ticket and our support team can further assist you. 

Thanks - I was aware of that one.

Unfortunately, the Delete option shown wasnt there - nor was it on the iOS app

I emailed the organiser of the race and they deleted their event link and the route disappeared  from my account even though I never pressed a Deelete button. Its almost as if the route appearing in my routes, was actually a link to their account?

Hey @Twowheelsgood, 
Thanks for the follow up. You can look at other athlete's routes and star the routes that they have created that they have made public. You may have done this and when the route was deleted it was removed from your profile.