Shakespeare was born in 1564 and began his career as an actor and playwright in the late 16th century. Queen Elizabeth I ruled England from 1558 to 1603, and she was well-known for her support for the arts and literature. However, it's important to note that Shakespeare's plays and works primarily reflected his own experiences, observations, and artistic creativity.
Shakespeare may have been indirectly influenced by the cultural, social, and intellectual climate of Elizabethan England, which Queen Elizabeth I shaped to some extent. But again, concrete evidence of direct influence is lacking.
It's more accurate to say that Shakespeare was influenced by various other factors, such as his training in theater and literature, his study of classical and contemporary texts, and his interactions with other writers, actors, and patrons of the arts.