It's important to have a good relationship with your groomer. You're trusting them to care for a valued family member & to act in your pet's best interest but sometimes things just don't work out and you have to break up.
I've had clients come to me & state that their previous groomer fired their dog. In a sense that may be true but groomers are fired every day. Not everyone in the world gets along whether it be human, canine or any other creature.
There are many reasons you choose to seek out a new groomer: scheduling, don't like how your pet is trimmed, pricing, your pet doesn't like the person, etc. Whatever the reason, there is nothing wrong with seeking out another groomer if it's not a good fit. Keep in mind we all have different personalities as do our pets. .Sometimes things don't click.
Your groomer also has the option to no longer provide services to you. He/she may or may not offer an explanation. They may offer you information for other groomers that would work out better for you. We may also have a myriad of reasons why we would refer a client. Don't take it personally, we want what is best for your pet.
I have gained clients that other groomers have "fired." I have also referred clients to other groomers or declined to continue the grooming relationship. It doesn't mean the pet was bad but it could mean that my continuing to groom them was either not the best option for me or for the pet.
Safety is a huge concern for me. A dog may be too large or may fight for grooming. I've always been a solo groomer so I don't have a helper if my variety of restraints don't work & I need someone to hold the dog. Same thing applies as far as size. I have to consider how amicable your dog might me to being picked up or if I can even move them by myself should an emergency occur. I may feel like your dog is becoming overly stressed with me grooming them & suggest a groomer who works for a veterinarian or another colleague who might be willing to work with your pet. It doesn't mean I hate your dog, it means I'm acting in their best interest.
I'll leave you with this: should you decide to try out a new groomer & you have an appointment with your current groomer please let him/her know ASAP. Many of us are self employed & budget based on planned income. Given enough notice we can fill your spot.