The worst will wear off but i don't think there is a universal time frame for how long it will take. I've had many pets and it also depends on how close you were with them and how they died. For those with a traumatic death, it took much, much longer, compared to a pet that peacefully died of old age. Don't wait for the pain to wear off. Just live your life and it will take how long it will take. I do hope you don't have to deal with people saying things like; just bring in a new pet. That is a completely personal decision; for some it might help, for others it might feel like a betrayal.

Wishing you all the best.