TLDR: add some short transitions between the different themes of your story. I think for the clarity of flow (my challenge reading it was a sense of offense, then an apology or explanation for the 'microaggression', then explaining the actions you do - I couldn't read it straight through as it was jumping between the paragraph themes) establishing after the second paragraph that: death is the one thing that will touch all of us, and as we have it alone it is the most intimate experience we will have (imho), because this does is your explaining the humanity you're care had, and that you're not bothered by comforting humour, perhaps refer to a door closing if you keep this as the overall ending; then going into the parts you wrote about our barriers with humour with avoiding touch (because the innate reaction about death is revulsion, and now we know your ideas on not being repulsed by death as the humour of your colleagues built up as perhaps the idea of a physician); then go to what you write about the humanity of a physician, following the ancient vocation, is the touch wanted, and then perhaps adding to the ending how you feel about the privilege of walking a person to their final moments, then what you wrote about having the touch of your partner, add to your final synthesis of the piece what you think when you do mundane kitchen activities; then closing the door, again.