Count: 0 — there are no attested English pronouns that start with the letter Q. This result follows from the fact that English pronouns form a small, closed class inherited from Old English and other Germanic sources; interestingly, many languages related to Latin and French do have pronouns beginning with Q (for example, French que and Spanish que), but English does not adopt those forms for its pronoun inventory.
Explain the absence: pronouns in English are native function words that preserve ancient Germanic roots, and those roots do not begin with the Q/QU sequence. The letter Q almost always appears in English in loanwords from Latin, French, or other Romance sources, while interrogative and relative pronouns in English descend from Old English hw- forms (who, what, which, whose). Major references such as the Oxford English Dictionary and The Cambridge Grammar of the English Language list no standard English pronouns beginning with Q.
Consider near-misses and useful directions: no standard English pronoun fits the Q criterion, though Romance-language pronouns (que, qui) and Latin words (quid, quod) resemble pronouns and may appear in English phrases or legal terms. For a practical alternative, consult an A–Z pronoun list or the sections on interrogative, relative, and indefinite pronouns (most begin with W or other letters) to find English pronouns that serve the functions a Q-form would have filled.