desire to protect; protective urge
A compound noun referring to the psychological urge or instinct to shelter and care for someone or something perceived as vulnerable. Often used in contexts like parenting, mentoring, or pet ownership.
When I see a small puppy, a desire to protect it wells up inside me.
She has a strong protective urge and is always looking after her juniors.
庇護 is the noun 'protection, patronage, shelter', while 庇護欲 specifically refers to the desire or instinct to provide that protection.
Compound of 庇護 (ひご, 'protection, shelter') and 欲 (よく, 'desire, urge'). The exact historical derivation is uncertain, but the word follows a common pattern of combining a noun with 欲 to express a psychological drive.