I know it's difficult for you right now. Just know it's equally difficult for your wife believe it or not.

She's testing your resolve with the calls. If it were an emergency she would let you know that in a text. There's no need to respond.Let her feel your absence.

You're not being rude. You explained yourself. It's going to be ok. It may well feel worse before it gets better and your mind is likely to race but hang in there it does get easier. Just like you may have felt at different points in the past that everything was 'riding' on some particular interaction only for there to be a next one and a next one. This too shall pass. Take care.