I had a blood clot in my lung at age 30. Uts very scary. I know exactly where you are coming from, its very difficult to breathe and emotionally its a very tough time.
I honestly dont think your dh understands how serious this is. You need time to rest and recover but also at the same time you need to keep active and moving, albeit gently!
Initially you will feel crap and generally miserable. But you will improve. You just need support and by the sounds of it your not getting it.
Ill admit i wasnt sent home initially until id had a VQ scan. However i then asked to go home. Yes it is scary going home, i ended up back in A&E once as i felt it had come back (it hadnt) but panic and anxiety will make you worse. So i am suprised you have gone home, but as you are on anti coagulants you should be fine. Also in hospital you just tend to lay in bed and thats actually the worst thing for a blood clot!
I was on heparin injections for a week and then warfarin tablets and had to have my INR ( blood viscosity) taken regulalry for 6 months and then it was gone.
I think it took me about 2 weeks to feel my breathing was back to normal. But as i say anxiety makes it worse. Try not to shout at the kids! You'll feel worse.
Remember to take nice deep breaths. My breathing became quite shallow as it was painful. But that in itself can cause problems so just make a conscious effort to take deep breaths.
Relax you will feel better soon.