"Church" definitely is the generic English word for place of (particularly, Christian) worship (or, similarly, for the actual worship services), largely as the result of it being the word used by the religious groups that were dominant throughout the entire evolution of modern English for their places of worship.
Yes, there are certain groups that object to that for etymological reasons because "church" also is the English word for the body of believers, and who don't use the word that way, but that doesn't make it any less a normal (and, in fact, the primary) meaning the word has in English.
Yes, there are certain groups that object to that for etymological reasons because "church" also is the English word for the body of believers, and who don't use the word that way, but that doesn't make it any less a normal (and, in fact, the primary) meaning the word has in English.