To contend with

Today you’ll hear that the Brexit deal between the UK and the EU must pass both the British parliament and the legislatures of all the other EU countries. Though the deal will be difficult in the UK, all other countries have their own politics to contend with. That means, they have their own political situations to deal with, to worry about. When you “contend with” something, you are worrying about it or dealing with. UK Prime Minister Theresa May has to contend with a difficult political situation, too.