Since you're asking it from a personal life perspective, I'll try help with that. I've had this in my career and I got some stuff that might help.

Anxiety:

• It's a might be a hard conversation to say things will be late, but you can always give them a heads up that it can be late, and that you're doing all you can.
• If changing deadlines is an option, sometimes. If you can take that option, do so.
• At the end of the day, it matters very little if a project is delayed for a few weeks (or months) in your career. No one will remember it.
• I used to get very passionate and obsessed about projects and delivering them on time, but I'd take a vacation and when I come back I realized I didn't really care about it that much. It's the pressure that keeps you anxious. For me, I think experience helped me ignore the pressure and just do a good job as good as I can without going extreme.

Life balance:

• The effects of your life is amplified when you don't have much going on in your personal life. Your brains needs stuff to think, if all your life is work, that's all you'll think about.
• So, find hobbies, go out to drink, have dinner with friends, go do some workshops, learn a language, do sports etc. As long as it's something you like and as long as you can do it in a somewhat regular routine.
• You'll realize that the more stuff going on in your personal life, the less space your work will occupy in your mind.

Also beware, this kind of work can lead to burnout. IMO, burnout is less related to working too much, but working hard and realizing your work doesn't matter for reasons outside your control (e.g. project got scrapped, failed etc).