My father died when I was 16. I didn't know how to ask for help or even a hug; everyone took my silence as an indication that I was OK.
I cried myself to sleep every night for 2 years. I couldn't say the word 'father' in reference to him until I was 33.
I simply didn't know how to ask people to give me the affection and comfort I desperately needed. Even now, I've never grieved anywhere but in seclusion. I wanted someone to hold me and let me cry, but it never happened.
Instead of asking 'are you OK?' try saying "I think you're not OK, are you?' which opens up a different conversation. My Autism script means that as soon as someone says 'How are you?' I respond 'Fine', which (for me) closes the conversation, and I can't go back and say 'actually, I'm not fine.' It's even worse because people usually ask this question in public, and you can never admit any problem in that situation.
It takes me a little while to get used to being hugged, so I often stiffen involuntarily, which makes people withdraw, and that makes things even worse. Possibly a graded approach - touching hands, an arm around the shoulders - might make it easier.
Above all, I think making space in a non-public context to just sit, maybe asking questions that acknowledge that the distress is there, not questions that mandate a 'fine' response, asking someone if they want physical comfort (and asking again, on different occasions, as anxiety prompts refusal of something that the person may actually want and need). NTs seem to percieve Auties as not wanting or disliking contact; this may be true for some, but for many it's simply so unfamiliar a sensation that it causes an initial panic that will settle if we're given time and consideration.
Also anxiety levels max out in bereavement, which can exacerbate lots of autistic traits, on top of the usual grief reaction of exhaustion, poor concentration, not eating etc.