As your resident amateur therapist AnnSixty, yes I think this is normal.
To be honest, everything you feel immediately after the months and years you have coped with and your very recent bereavement may be regarded as normal - normal for now, normal for you and nothing to feel any worry or shame about. Your body as well as your emotions have taken a massive battering. I would say take each day at a time. Pop out to a shop if you feel like it, but don’t overthink it. If you choose not to, that is fine, but sometimes interaction with an entirely neutral stranger can make you feel you are one more step on the way.
If a friend can do something with you -coffee, lunch, just a walk, so much the better but do not push yourself.
I went up to Birmingham by train just a very few weeks after Paw died as DGS was poorly and the terror I felt on the staton platform (especially as an express thundered through) really shocked me. I was in no way suicidal but felt myself drawn towards the platform. I actually “hid” behind the timetable board for reassurance.
The first time I went “out” on my own, was to a quiz night among friends in the village hall, all of three months after Paw died and that was a huge effort.
All I would say is, how you feel today is not necessarily how you will feel tomorrow or next week.
Good days and bad days, or more exactly, bad days and not so bad days.