One verse

Srimad Bhagavatam 1.18.2

1.18.2

ब्रह्मकोपोत्थिताद् यस्तु तक्षकात्प्राणविप्लवात् । न सम्मुमोहोरुभयाद् भगवत्यर्पिताशय: ॥ २ ॥

brahma-kopotthitad yas tu taksakat prana-viplavat na sammumohorubhayad bhagavaty arpitasayah

brahma-kopa
fury of a brahmana
utthitat
caused by
yah
what was
tu
but
taksakat
by the snake-bird
prana-viplavat
from dissolution of life
na
never
sammumoha
was overwhelmed
uru-bhayat
great fear
bhagavati
unto the Personality of Godhead
arpita
surrendered
asayah
consciousness.

Furthermore, Maharaja Pariksit was always consciously surrendered to the Personality of Godhead, and therefore he was neither afraid nor overwhelmed by fear due to a snake-bird which was to bite him because of the fury of a brahmana boy.