I'm writing a short story with the following structure:
B tells A she is gravely sick and wants to be alone (present)
A talks about how he met B in a hospital (flashback)
A talks with his friend about B's call (present)
A talks about how he continued seeing B after they met at the hospital (flashback)
A locks himself in his room (because of B) and starts getting sick (present)
A talks about how he and B finally got together (flashback)
A continues getting sick (present)
And so on.
As you can see, each scene alternate between present and flashback (and follow a chronological order).
The only story I've read which have such structure is All God Children Can Dance by Haruki Murakami.
I didn't find the structure particularly annoying. But I'm not sure about other readers.
Would it be annoying for the reader if I write a short story with a structure like this? What other alternatives could I use?