The movements you describe do appear to be tics, though they may not represent the onset of TD (there is no sign at this point of a vocal tic). While this child is at the young end for tics to develop (more often the younger end of the range is 3-5 years), it is certainly not unheard of. She should be evaluated by her pediatrician and then perhaps by a pediatric neurologist.
The snorting noise is an example of a vocal tic and, in light of the multiple motor tics in addition, she does meet the criteria for a diahnosis of TD. I would pay no attention to the behavior at all. Focusing on it will serve only to increase any anxiety, and she is too young to make sense of such a condition. Be sure (or her parents should be sure) to arrange an appointment with a pediatric neurologist.
She does make a repeative snorting noise, through her noise and mouth.
What do you recommend for the show of discomfort she is displaying after the repeative R shoulder /arm Tic's?