So, let's look at the term IF- interactive fiction. Interactive implies some kind of input from the user. Fiction implies that it's not based on real events.
This should be called a NON-INTERACTIVE CONVERSATION. Someone is speaking to you, and on each page you have EXACTLY ONE thing you can respond back. You click on that response (you don't type it- you click on it, there is no other input allowed) to go to the next page.
This may have been better put with both characters' lines in it as a poem or something, but it really doesn't belong in the IF medium.
That being said, perhaps it says something on how one-sided a breakup conversation is, since nothing you say will probably MATTER anyway, but for people on this site, it's not exactly IF.