Yes, because it doesn't stand in Bavaria. They have their own party, the CSU.
But far more importantly, there are a large number of parties in Germany, and the Bundestag is elected by mixed-member proportional representation. They have NEVER had a party with an overall majority in the Bundestag ever since the post-Nazi constitution was made in 1949. So ever since 1949, the country has ALWAYS been run by a coalition, and Germans are perfectly used to this. I remember when Angela Merkel first became Bundeskanzler in 2005 - it took about 5 weeks after the election for the parties to negotiate an agreement that she should have the job as leader of the largest party, and longer than that for them to agree who should be in the Cabinet from different parties.
I see you're British. The Scottish Parliament and the Welsh Senedd also use a version of MMP, where only some of the members are elected directly from constituencies. Voters also have a second vote for just a party, and that selects extra members from party lists to make the result proportional. In the German version, only half the Bundestag is elected from constituencies, and the whole other half is elected on the second vote. It makes for no chance of a majority government unless one party becomes so overwhelmingly popular that actually over half the voters vote for it on the second vote.
Now bear that in mind, and the fact that Merkel has become Bundeskanzler for the 4th time under such a system as this is pretty good going. If the UK used the same system for Parliament, we'd have a coalition every time too, and over time we'd get as used to it as the Germans.
Just about the whole EU uses some kind of proportional representation, so their politicians are far more used to negotiations over just about everything. Germany is a mild case - after the last Belgian general election, it took them over a year to form a government. Which undoubtedly explains the EU's impossible attitude to negotiating Brexit.