Daughter and royal son display tempers (7)

I believe the answer is:

danders

I'm a little stuck... Click here to teach me more about this clue!

'display tempers' is the definition.
The answer and definition can be both feelings as well as being plural nouns.
Maybe there's an association between them I don't understand?

'daughter and royal son' is the wordplay.
'daughter' becomes 'd' (genealogical abbreviation).
'royal' becomes 'er' (abbreviation for Elizabeth Regina).
'son' becomes 's' (genealogical abbreviation for son).
'd'+'and'+'er'+'s'='DANDERS'

Can you help me to learn more?

I've seen this clue in the Sydney Morning Herald.

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