Googling provides some insight:
https://uk.usembassy.gov/information...d-19-outbreak/
I believe the travel restrictions do not apply to me, and I have a valid visa/I have a valid registration under ESTA. What should I do?Information about the status of ESTA registrations at this time is provided through the only official ESTA registration at
https://esta.cbp.dhs.gov
If your ESTA was cancelled but you believe that you fall under one of the exemptions identified in the Proclamation, please refer to the Travel Proclamation Help on the ESTA website for guidance.
If you believe that the travel restriction does not apply to you, we suggest that you contact your airline for the latest information about your travel plans and any restrictions.
If you travel, we suggest that you carry any official original documentation that you have that you believe demonstrates why you are exempt from a travel restriction, such as a Permanent Resident card (commonly known as a Green Card), a marriage certificate or a birth certificate, so that it is available if it is requested for review.
Linked from above:
https://esta.cbp.dhs.gov/
Linked from above:
https://esta.cbp.dhs.gov/faq?focused...0Proclamations
My ESTA was cancelled but I believe that I fall within one of the exemptions identified within the Proclamation – what should I do?
Individuals that believe they are exempt from these Proclamations and are abroad may contact their air carrier for additional guidance. Travelers who believe they fall within an identified exemption are encouraged to seek guidance in advance of planned travel to avoid travel disruptions.
Air carriers are directed to contact the RCLG for additional guidance.
RCLG appears to be Regional Carrier Liaison Group
Found in
https://www.cbp.gov/sites/default/fi...%20ENGLISH.pdf (Carrier Information Guide Feb 2019) :
Regional Carrier Liaison Groups (RCLG) have been created by CBP to assist carriers with questions regarding U.S. entry, with a primary focus on assisting overseas carriers to determine the authenticity of travel documents. The RCLG will respond to carrier inquiries concerning the validity of travel documents or admissibility of travelers. Once a determination is made on validity or admissibility, the RCLG will make a RECOMMENDATION whether to board the passenger or to deny boarding. The final decision to board or not board lies with the carrier. Regional Carrier Liaison Groups have been established in Miami, New York and Honolulu.
If you are located at an airport serviced by the Immigration Advisory Program (IAP) or the Joint Security Program (JSP), contact should be made with either an IAP or JSP officer.
The RCLGs are available 24 hours a day. This service is available to all carriers worldwide for any flight destined to the United States.
RCLG - SERVICE AREAPHONE NUMBER
Honolulu - Asia, Pacific Rim 808-237-4632
Miami - Latin America, Caribbean 305-874-5444
New York - Europe, Africa, Mid-East 718-553-1783
So it seems the best course is to contact your carrier and have them contact the RCLG (or IAP or JSP if applicable) for guidance before travel so they will have documentation that you are allowed to enter the US before you board. And, carry the copy of your marriage certificate with you when you travel.