If a partner shared your resume, the recruiter should at least have a conversation with you. While most partners will allow the recruiting team to handle the initial screening, partners' recommendations still hold weight in the process.
I suggest you follow up in about a week and wait for a response. While you're waiting, applying to other firms will help build confidence and keep your options open. Even if nothing else comes of it, following up will provide clarity on where you stand.
Good luck.