The blood-money is the responsibility of the killer's paternal male relatives, and a woman inherits nothing from her husband's blood-money, until Dahhak bin Sufyan wrote to him that the Prophet ﷺ granted the wife of Ashyam Dibabi a share of inheritance from her husband's blood-money.
حدثنا أبو بكر بن أبي شيبة حدثنا سفيان بن عيينة عن الزهري عن سعيد بن المسيب أن
الدية للعاقلة ولا ترث المرأة من دية زوجها شيئا حتى كتب إليه الضحاك بن سفيان أن النبي ﷺ ورث امرأة أشيم الضبابي من دية زوجها
[Sahih] Reported by Abu Dawud, Inheritance, chapter on a woman inheriting from her husband's blood money, no. 2927, from the hadith of Sufyan, with this wording, and Tirmidhi graded it sahih, no. 1415, as did Ibn Jarud, no. 966. It has corroborating narrations in Tabarani, 5/276, no. 5315, and elsewhere.