You cannot deduct the 'rent' that you pay, but if the shed meets the qualifications to be a home office, then you could deduct the separate utility bills for the shed. To deduct the full amount of the bills, the shed would need to be 100% used for your business.
Take a look at the following TurboTax article to learn more about what qualifies as a home office:
To clarify, are you a Schedule C Sole-proprietorship and to whom do you pay rent?
I am a schedule c sole proprietor. I pay rent to myself. Typically in cash
Schedule C is a disregarded entity. It is the same as you. It is personally yours. I don’t think you can pay yourself rent. Then you would need to report the rent on Schedule E for Rental income. So it would be a wash. It’s probably like paying yourself. You cannot deduct your own salary or any personal withdrawals you make from your business. As a sole proprietor, you are not an employee of the business.
You cannot deduct the 'rent' that you pay, but if the shed meets the qualifications to be a home office, then you could deduct the separate utility bills for the shed. To deduct the full amount of the bills, the shed would need to be 100% used for your business.
Take a look at the following TurboTax article to learn more about what qualifies as a home office: