I quote what is written down in bold from a grammar book:
"Time reference changes when we use reported speech. For example: Anne said, ‘I’m going swimming this afternoon.’ ➟ Anne told me that she was going swimming that afternoon." Let's suppose that 'Anne' told me she was going swimming at 8 a.m., and that I reported what she had said to someone else at 11 a.m. of the same day; would it make sense to say "she was going swimming THAT afternoon". I believe the listener would assume that 'Anne' has already went swimming, and that I am talking about a previous day, rather than the one we are in. Am I right or wrong? Thanks in advance.