Hair bookings

I recently (a week ago) messaged a reputable bridal hair stylist and managed to book her. I have paid a deposit which then covers the trial cost. However since sending the payment I have had no confirmation of payment being received or anything to go ahead and book my trial in. Our wedding is in October. I feel like asking for my deposit back and doing my hair myself to save money. Can I do this? In the emails it doesn't say that the deposit is none refundable and no contract has been signed. I am very much a person who needs confirmation from vendors etc and start to panic when I don't hear back. Any advice welcome