Yes, absolutely. Had a huge problem with that in therapy, especially considering that I was only 13. My first therapist yelled at me and loudly said to her boss at the reception(in front of me aka others) that she can't work with me if I only cry and don't talk, kinda mocking me. I felt terrible since it was the first time admitting to the fact that I have suicidal thoughts while being next to my mother. But it got a lot, lot better over the years through a of time and hours with kind and caring therapists/psychiatrists.
This is also why I feel like this site helps a lot, even when not planning to die. It helps slowly taking away the stigma about suicide and helps you realise that feeling this way is not crazy or totally unusual. It's important to speak about this and we can only receive help if we are able to. I hope you can achieve that too and that this site can help you with not being as afraid to admit to your feelings. I wish you the best of luck with that!! <3