I don’t stutter, but I do have a lateral lisp. I went to speech therapy for it went I was younger, but I still notice it from time to time. However, it hasn’t given me any trouble as an SLPA, because I’m able to correctly produce/teach it in sessions. We also have an SLP at our clinic who stutters, but she is great and has many clients with fluency disorders on her caseload! We did run into a problem with one parent who called her out on her stutter, but it was just an unfortunate circumstance with a not so nice parent. All in all I would think you’d be completely fine!