The day my counter suit went out I think I had 10 strokes. But you know what? It was fine. Too bad if H was pissed. Too bad if your W was pissed. You had to execute an action (having her served) and this action is now complete. All in all it wasn't so bad, right? You had information to deliver to your W according to legal policy and procedure and now your W has the information intended for her.
I know this sounds cold but this is one thing my attny really helped me with. In a divorce case paperwork is going to have to be exchanged via the attnys or process servers. It is simply how things are done. You (me, anybody!) can be riddled with stress while the paperwork is being exchanged or not. Either way the paperwork has to be exchanged or served.
Now at the time I felt like telling him (him = my attny) to F OFF because we all know it's not *just* paperwork but a life, family and marriage. If you can start to separate the admin. stuff from the emotional stuff I do think you will have less "crossover stress" (yes, my attny had a name for everything, lol!).
I know it seems like hell now. And it might seem like hell for a while. What helped me was to realize certain things only had to happen once. You only have to get served for a divorce once. You only have to respond once and so on. And once that action is done, well, it's done.