Is it deer resistant?

Yes

Chinese Sacred Bamboo is deer resistant.

Nandina domestica

Deer: Rarely
Height: 8 ft (2.4 m)
Spread: 5 ft (1.5 m)
Zones: 6–10
Light: Full sun

Perennial
Shrub
Weed

Chinese Sacred Bamboo (Nandina domestica)

Photo: Jebulon · Public domain

Also called Heavenly Bamboo, Nandina, Sacred Bamboo

Perennial Nandina

More details

Light: Full sun, Partial shade, Shade
Water: Medium
Type: Perennial, Shrub, Weed
Maintenance: High, Low
Growth: Fast
Bloom: Spring
Foliage: Evergreen
Features: Drought tolerant, Flowering, Poisonous