Company's recruiter forgot to call me for a phone interview. Options for getting in touch with another recruiter?

I recently got recommended by a colleague for a position at a large company, and applied through an internal channel. My colleague thinks I'd be a fit for the team and the position, but my first phone interview with the company recruiter didn't go very well.

The company recruiter emailed me available times for a phone interview that day, and I replied to reserve an appointment. From here, things got a little messed up. The recruiter apparently never re-checked their email, so when the time came up that day, and I didn't get a call, I made the decision to call them 10 mins after the appointed time.

I feel this is very unprofessional for the recruiter, and being pressed for time, my phone interview did not go as well as it could have.

What are my options for contacting a second recruiter for a different phone interview? Should I mention my first phone interview did not feel like the best impression because my appointment was forgotten?