Is it deer resistant?

Yes

California Bay is deer resistant.

Umbellularia californica

Deer: Rarely
Height: 75 ft (22.9 m)
Spread: 75 ft (22.9 m)
Zones: 7–10
Light: Full sun

Shrub
Tree

California Bay (Umbellularia californica)

Photo: Z3lvs · CC0

Also called California Laurel, Myrtle-Wood, Oregon-Myrtle, Pacific-Myrtle

Shrub Umbellularia

More details

Light: Full sun, Partial shade
Water: Low, Medium
Type: Shrub, Tree
Maintenance: Low
Growth: Medium
Bloom: Spring
Foliage: Evergreen
Features: Flowering
Best uses: Coastal, Flowering tree, Privacy, Shade tree, Slope, Water edge