A more thorough explanation:

Administratrix

Administratrix is an outdated term that refers to a woman who is appointed by the court to manage the administration of an estate for someone who has died without a will. In modern times, the term administrator is used for all genders and can refer to a court-appointed administrator or executor of an estate.

When John passed away without a will, the court appointed his wife Mary as the administratrix of his estate. She was responsible for managing his assets and distributing them to his heirs.

Today, the court would appoint an administrator, regardless of gender, to manage John's estate.

These examples illustrate how the term administratrix was used in the past and how it has been replaced by the gender-neutral term administrator.