Yes, this is correct. The word “bedroom” in this sense is referring to an actual thing, and must be preceded by “the.” In fact, I can’t think of an instance when “bedroom” wouldn’t take some kind of a determiner, such as _**that** bedroom, **our** bedroom, **a** bedroom_, etc. 

In your example, “cup of coffee” also needs an article. In this case, it would be “**a** cup of coffee.”