Sure, but Randall's main qualification for a therapist seemed to be race. He started off rocky with his first therapist, but IMO that was more about his discomfort spilling his inner thoughts to a stranger than because of who the therapist was.
To me, Randall saying that he wanted only a black therapist seemed similar to if he said he wanted only a male therapist. Yeah, you might have some level of understanding with someone who shares your demographics, but you definitely can't ASSUME that will happen, or automatically rule out everyone else in the world. If this were indeed a truth, then all black people (or all men, all straight people, whatever) would automatically be friends with one another because, hey, similar characteristics. But obviously this is not the case in real life.
LOL, why does everyone nowadays act like every teen has an automatic right to a phone? IMO it's still a privilege, as Mom and Dad are paying the bills, so they can choose to give or not give one, or - gasp! - get the teen an Android instead of the latest iPhone.