No, there is typically no annual fee specifically for protecting a trademark. Once a trademark is registered, the protection is granted for a specific period, usually 10 years in many jurisdictions. During this period, there are no annual fees required solely for the purpose of maintaining the protection of the trademark.
Apart from the renewal fees, there may be other costs associated with monitoring and enforcing the trademark rights, such as conducting trademark searches, monitoring for potential infringements, and taking appropriate legal action if necessary. These costs can vary depending on the specific circumstances and strategies employed to protect and enforce the trademark, but they are not annual fees inherent to trademark protection itself.