I have struggled with this in the past. With Long term T I even voiced thr concern of her being on vacation and. ot working. She told me it was her responsibility to set the. oubdaries and decide if she wanted to receive emails on not while on vacation. She couldn't guarantee when she would receive it or respond but she wanted me to email her if I needed to. She said often at night when she sat down and relaxed she would often check any emails . However if she were exhausted it would likely not happen.
A couple of times when current T has been on vacation she has told me to text if need be. Again she may not read her work texts until she gets back from her vacation but I was welcome to send them. She knows most of the time when I text her it is mostly to vent. So a reply isn't completely necessary (although if I am honest I would like on). Since COVID she has received he work texts a lot less frequently than before.
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