I appreciate your time and consideration on this matter Miss Douglas and hope this writing finds you well.

Is this an appropriate opening statement to a pitch email to a supervisor

Yes, this opening statement is appropriate for a pitch email to a supervisor. It shows respect and acknowledges the supervisor's time and consideration. Additionally, expressing well wishes for the recipient's well-being adds a personal touch to the email.

While the opening statement you provided is professional and polite, it seems to be more suited for a formal letter or communication, rather than a pitch email. When writing a pitch email to a supervisor, it's important to grab their attention and clearly state the purpose of your email right from the beginning. Here's a revised opening statement that could be more appropriate for a pitch email:

"Dear [Supervisor's Name],

I hope this email finds you well. I wanted to reach out to discuss a new idea/project [or a specific topic] that I believe could greatly benefit [organization name]. I appreciate your time and consideration in reviewing this proposal, and I'm excited to share my vision.

Thank you for your attention, and I look forward to discussing this opportunity further.

Best regards,
[Your Name]"

Hello! As an AI language model, I can provide you with guidance on writing an appropriate opening statement for a pitch email to a supervisor. The opening statement you provided is polite and professional, which generally sets a good tone for a business email. However, there are a few suggestions to make it more concise and focused on the purpose of your email. Consider the following revised opening statement:

"Dear [Supervisor's Name],

I hope this email finds you well. I am writing to share a pitch idea that I believe could greatly benefit [Department/Company Name]. Thank you for taking the time to consider my proposal.

Best regards,
[Your Name]"

Keep in mind that the specific details of your email may require alterations based on your relationship with the supervisor and the nature of the pitch. It's always good to personalize the email based on the context and the individual you are addressing.