So don't say my name or why I'm interested or suggest a time... 🙄
No, actually you don't. None of that is relevant unless he/she says yes.
This conversation goes one of a few ways.
You: Hi I'm a pre-med at X university looking for more exposure to the profession. Are you available to shadow?
Doctor: No, goodbye.
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You: Hi I'm a pre-med at X university looking for more exposure to the profession. Are you available to shadow?
Doctor: Talk to my office manager, goodbye.
Office Manager: Hello
You: Hi I'm a pre-med at X university looking for more exposure to the profession. Is doctor available to shadow?
Office Manager: No, goodbye.
------------
You: Hi I'm a pre-med at X university looking for more exposure to the profession. Are you available to shadow?
Doctor: Talk to my office manager, goodbye.
Office Manager: Hello
You: Hi I'm a pre-med at X university looking for more exposure to the profession. Is doctor available to shadow?
Office Manager: What are you looking to gain from this experience?
You: Blah blah blah
Office Manager: Sorry, we can't let pre-meds shadow due to HIPAA, goodbye.
------------
You: Hi I'm a pre-med at X university looking for more exposure to the profession. Are you available to shadow?
Doctor: Talk to my office manager, goodbye.
Office Manager: Hello
You: Hi I'm a pre-med at X university looking for more exposure to the profession. Is doctor available to shadow?
Office Manager: What are you looking to gain from this experience?
You: Blah blah blah
Office Manager: I'll have to talk to doctor. I'll get back to you, goodbye.
--------------
You: Hi I'm a pre-med at X university looking for more exposure to the profession. Are you available to shadow?
Doctor: Talk to my office manager, goodbye.
Office Manager: Hello
You: Hi I'm a pre-med at X university looking for more exposure to the profession. Is doctor available to shadow?
Office Manager: What are you looking to gain from this experience?
You: Blah blah blah
Office Manager: When are you available?
You: Blah blah blah
Office Manager: Doctor is on vacation during that time, goodbye.