Stumbled across this blog post by Karla Fisher, which goes into detail about her experiences, and subsequent management, of her Autistic Grief.

Pulled out this section of text, from the end of the post, which provide a few key takeaways:

ASD Grief Things to Think About

1. May or may not cry or overtly show emotions. Alternatively, emotions may be delayed or very extreme when they do come.
2. Grieving will very possibly manifest itself via increased ASD
   symptoms (increased sensory processing issues, shutdowns, meltdowns,
   decreased social abilities, etc.).
3. May be unable to articulate what is wrong or talk about feelings.
4. Increased desire to be alone to work things out (this is opposite of most NTs who will feel better by sharing how they feel).
5. May not relate to many emotional or relational concepts designed by NTs.

Source: Autistic Grief; Not Like Neurotypical Grief