Is it deer resistant?

Yes

Wooly Thyme is deer resistant.

Thymus pseudolanuginosus

Deer: Rarely
Height: 6 in (15 cm)
Spread: 3 ft (91 cm)
Zones: 4–10
Light: Full sun

Ground cover
Perennial
Shrub

Wooly Thyme (Thymus pseudolanuginosus)

Photo: Cephas · CC BY-SA 4.0

Ground cover Thymus

More details

Light: Full sun
Water: Low, Medium
Type: Ground cover, Perennial, Shrub
Maintenance: Low
Growth: Medium
Bloom: Summer
Foliage: Evergreen
Features: Drought tolerant, Flowering
Best uses: Border, Container, Mass planting, Path, Patio, Rock garden, Small space

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