The most common and most likely answer to this crossword clue is the 8 letter word HERITAGE
H
E
R
I
T
A
G
E
More clues leading to the result HERITAGE
- The woman’s appeal has maturity, a thing from the past
- Recluse, not married, to get older evidence from past
- What not to ask a lady about Italian traditions
- Background: what a lady may not wish to reveal about it
- Heir upset by label attached to European ancestry
- Past I identify in present
- Perhaps their age is past
- Get heir a settlement he expects
- Russian gallery loses Frenchman’s bequest
- Cultural traditions in retreat, custom finally abandoned
Buddy explains!

The straight part
We know that "birthright" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case birthright = heritage.The cryptic/wordplay part
In cryptic crossword there's often an wordplay/cryptic part as well.This part involves a more complex hint, such as an anagram, homophone, hidden word, etc.
Sadly, We don't have an explanation for this specific crossword clue yet.
What does HERITAGE mean?
HERITAGE noun- An inheritance; property that may be inherited.
- A tradition; a practice or set of values that is passed down from preceding generations through families or through institutional memory.
- A birthright; the status acquired by birth, especially of but not exclusive to the firstborn.
- Having a certain background, such as growing up with a second language.