If that is the email address you use to synchronize with, yes whatever your gmail address is will be the one that emails get sent from and the client will see that.
This is not nearly as important as you may think. We have found less than 3% of customers respond to emails. Most of the conversion activity happens from calls and texts.
As a reminder, the email address you signup with and the email address you synchronize and send emails from do NOT have to be the same and you can change the 'send' email address later.
If you can't get access to your work Outlook Exchange server, which in a lot of cases requires 2-factor authentication (depending upon how your company has set it up), you may not be able to send emails from your Microsoft / Outlook work email address without getting that access.
We have no way of assisting with that process and it would have to be handled by you and/or your IT department.
Please visit our other help articles on setting up the CRM here: https://dovetailmktg.freshdesk.com/support/home
You may want to search for second gmail address if you'd like to setup a gmail address specifically for this campaign.