Table headers provide important context for screen reader users and the lack thereof makes it difficult for them to interpret and navigate the table.
Without the information that can be conveyed in a table header row or -column cell the relationship between said row or -column's entries becomes unclear to the visually impaired.
The only solution is to add text in the empty header row or -column cell. It may require rethinking the table and what the author wishes to convey with it.
Often elements of the other cell(s) next to an empty header row cell can be moved above the table to a descriptive title instead.