DO NOT hire a BD person.
First, a startup with <$10m/yr revenue almost surely has nothing to offer another company that is interesting to them for BD. Not enough attention, not enough users, not enough revenue-sharing, etc..
BD only works when BOTH sides move the needle on something important to them, which usually means revenue but it can mean attention or branding or something. If you can't fulfill your end, then it's not BD. It's something else, like trying to be an affiliate.
Also, people who's title in LinkedIn are BD are not the sort of folks used to moving the needle for startups.
I have literally *never* seen a person with the title "BD" at a startup make a difference. Usually they're the subject of ridicule behind closed doors.
Not to say there isn't the person who could. I know a CEO of a startup that currently does $20m/yr and he's the definition of the consummate BD guy. But you cannot bet yourself on finding that unicorn.