Hi nao,
There can be a difference between wanting and needing! I'm not being flippant, I think it's good to consider how much a reluctance to start therapy might be due to a natural and understandable wish that we didn't have to do it. In what ways might you not need to? Do you have other ways to process what happened and live the kind of life you want to?
I think it's helpful to think about therapy as more than talking about traumatic experiences. It's also about helping us develop our ability to cope and function, to get stronger and more stable, to have more awareness of ourselves, to have more understanding and compassion for ourselves, and to manage relationships better. Personally, I think the initial stages of therapy should be focussing only on some of those things anyway. I think we need to first establish ways to cope and stay stable, because those skills will help us to do trauma work later, when we've built up some trust with our therapists.
Also, bear in mind that there are different types of therapy. What's best for one person right now might be different from what another person needs. Some people want to use very direct approaches like cognitive behavioural therapy/exposure therapy, some EMDR, some much more general talk-based therapy, some faith-based therapy etc. How quickly you start talking about what happened, and how you approach that, depends partly on the therapist and the approach you choose.
I think probably most of us have struggled with the idea of having to talk to someone about what happened. If you see a therapist who's qualified and experienced in working with trauma survivors and PTSD, which I think is important, then they should understand how difficult it is and work with you to help you do that. We do have to push ourselves, but we don't have to start talking the moment we walk in the door (unless we want to).