Ah, hang on, I see now that I misunderstood your original issue: the data in the header cells are the data in the first three rows of the Google Sheet.
That is…definitely bizarre. Unfortunately, I can’t replicate the issue. A shortcode like this:
[gdoc key="https://docs.google.com/spreadsheets/d/1bPJak06G00iD6sycGE-3G9ojwGGyTU1w3bXOc75ouTI/edit"]
works exactly as intended in my test environment; the name “Abott Adams” (for example) appears as the second row, beneath the “Last Name” and “First Name” column headings. To me, this still indicates something awry in your WordPress environment, though possibly (probably?) not something related to visual styling.
Unfortunately, this is also not something I offer support for. Your WordPress environment is your own responsibility. If it works in my test environments (and there are many), then the issue is not with this plugin, as is evidenced by the fact that this symptom is only experienced by a small subset of users (whose WordPress sites, I must assume, are somehow broken).