Welcome to the forums. I hope you can find the support you're looking for here. I commend you on seeing your GP and looking for a Counsellor / Psych for support too. Great work!
I work in a high stress field and support many people who have significant life issues.
I get compassion fatigue. I've recently been formally diagnosed with anxiety and PTSD - they overlap anyway.
It was my personal life experiences that gave me PTSD (if I can put it that way lol), not really work.
It's no wonder that when you've been immersed in such a high stress level job, caring for people compassionately and having them face their own demise, that you're struggling with thoughts for yourself.
Sometimes our workplaces are so crazy busy, we need to get home to unwind but I've found I need a 'middle ground' time between after work and before getting home. It's like a portal I need to go into to destress, maybe write things down that REALLY upset me and find a peaceful place of calm - leaving work at work if possible. It would greatly improve the mental wellbeing of workers like you and I if we had a 'group session' run by a MH professional for 30m after work but that's probably for next century lol.
At night I dream of solutions lol. I have a scrapbook and fat crayon next to my bed so if a dream wakes me up, I don't turn the light on, I reach for the crayon, scribble a key word and then I can sleep. I also don't have any clocks in my bedroom or ever look at my phone in the middle of the night. I found that I was constantly waking up, seeing the time and feeling awful. I sleep so much better with MH support too.
My strategies for dealing with anxiety are many. Grounding exercises are what we need.
I decided a long time ago that I wanted to be in this field for the long haul and not go out fast (HIGH turnover rate). It's now been close to 40y. I take leave when I need to.
I've had a constant Counsellor for 4+y I think, she's great. She grounded me during the worst times of my life.
I needed more for my PTSD so sought a Specialist Trauma Psychologist and took leave to begin weekly appointments recently.
There are lots of great threads and information on anxiety here and online.
Gardening and networking around my interests brought me out of a very deep depression around 20y ago.
I can't take meds.
Mindfulness whilst gardening is a great grounding activity now, amongst many others.
Best wishes and thankyou for your work.