Is Lagerstroemia Deer Resistant?

Now to answer you specific question, Rutgers University New Jersey Agricultural Experiment Station's Landscape Plants Rated by Deer Resistance says the crape myrtle (Lagerstroemia indica) is "seldom severely damaged".

Will deer eat my crepe myrtle?

Though the hungriest deer will eat plants not characteristic of its regular diet, deer will seldom eat any variety of crape myrtle.

Do animals eat crepe myrtles?

Goldfinches, dark-eyed juncos, house finches, cardinals, and house and white-throated sparrows visit the trees continually from early December through late February to devour the abundant seed crop that crape myrtles provide.