The phrase “hit me with your best shot” is a common idiom that means to challenge someone to do their best. It can be used in a variety of contexts, from sports to music to everyday conversation.
In the context of music, the phrase “hit me with your best shot” is often used to challenge someone to a musical duel. The speaker is essentially saying, “I’m ready for you to give me your best shot. I’m not afraid of what you’ve got.”