Thank you in advance for your advice.
Last week, I applied for a job that is the perfect fit for me. The company is a new institution that is supposed to open in June, so I think the job posting is "real" and that the company may be motivated to actually look at submissions. I applied through the company's website and though I did receive an auto-reply confirming my submission (see below*), I have not heard anything further and no one from the company has looked at my LinkedIn profile as far as I can tell. It's only been a week since I submitted, but I really want this job, and want to do everything I can to make sure that an actual human being (instead of a computer algorithm) sees my resume. Many job search advisers recommend sending a follow-up note to the company hiring manager a week after the application, but unfortunately, I have no contacts at the company or within my LinkedIn network. However, I did find the "Head of People Operations" on LinkedIn and though most people who work for this company have a "Connect" option next to their name, this person has a "Message" box next to her name so I think I can message her directly. Is it safe to assume that this person is the Head of HR and is open to receiving messages from potential employees through LinkedIn? Is it appropriate and advisable to send her a message to follow up even though the auto-reply email said they would reach out to me if they thought I was the right fit? I can't miss this opportunity but likewise I don't want to offend anyone by behaving contrary to their explicit instructions. Please help!
* Here is the text from the auto-reply email from company after I submitted my application: "What's next? A member of our team will review your application, resume and any other additional materials submitted. If your application looks like a fit for the position, we'll reach out. While we do our best to get back to you in a timely fashion, things might move a bit slower than usual given the volume of interest - so please excuse any delay!"