The phrase "to have a choice in the matter" means that you have the ability to make a decision or choose an option in a specific situation. Full definition
But it's clear I don't have a choice in the matter. (firstthings.com)
Being a wife and mother is wonderful if that's what they want, but I think we all know they don't really have a choice in the matter. (mommyish.com)
Political parties shouldn't be allowed to take the easy option and put the burden of paying for politics solely on the shoulders of taxpayers who have no choice in the matter. (politics.co.uk)