Yes, it is important to use a new Nuvaring immediately if it has been damaged or compromised in any way during sexual activity. It is also recommended to use a barrier method such as a condom for the first 7 days of the new cycle to ensure maximum protection. If you have had unprotected sexual intercourse since using the damaged ring, it may be necessary to consider emergency contraception. It is always best to consult with a healthcare provider for personalized advice in these situations.