Marco Rubio is a Republican Senator (Florida) in the US Senate.
The representative of the DR in the OAS recently voted to abstain regarding a possible OAS intervention in Venezuela. Most countries voted in favor of intervening. Most of the countries that abstained or voted against are Caribbean countries (think PetroCaribe and it all makes sense.)
What could Rubio mean by 'impact relationship with US?'
Will the US impose sanctions on the DR, affecting trade?
Will the US make it harder for Americans to travel to the DR, affecting tourism?
Will the DR be put on a list of an 'axis of evil' type?