E dies intestate. E's mother M has predeceased him. After M's death E's father P married X. E is survived by his father P, step-mother X and half-sister D. In E's estate, D will qualify as a

half-sister.

In the given scenario, where E died intestate (without leaving a will), D would qualify as a half-sibling and would be eligible to inherit a portion of E's estate.

Under the laws of intestacy, which govern the distribution of assets when someone dies without a will, the usual order of priority for inheritance is based on familial relationships. In this case, since E's mother M has predeceased him, her portion of E's estate would typically pass to her descendants, which includes E's half-sister D.

As an intestate heir, D would generally have a legal claim to a share of E's estate alongside E's surviving father P and step-mother X. The specific laws governing intestate succession vary depending on the jurisdiction, so it is recommended to consult local laws or legal professionals for more detailed information based on the specific location of the scenario.