This is purely from my opinion as an introvert and an INTP (basically the NT type based on MBTI), so it may or may not apply to your situation.
Being an introvert, I need a lot of personal space (that means not talking to people) in order to recharge and relax. This is the complete opposite for extroverts who need to talk to people.
When I'm upset or unhappy, my natural response is always to retreat into solitude, as this relaxes me. It doesn't mean I don't want to talk about it, I just don't want to talk about it immediately as talking to people uses energy for an introvert, and I'm already using my energy to deal with stress. This is compounded by the fact that I"m an INTP, which means I spend a lot of time self reflecting, so it means not talking to people.
It's natural for people to want to talk more when I back off, and this actually stresses me out. My last relationship ended as I didn't get enough 'me' time despite me explaining this. I was constantly pushed to be upfront with my emotions, explain things, talk things through all the time, which eventually stressed me out.
In short, for an introvert and an INTP, what we need is a lot of space. Give us time to recharge and sort our feelings out. We will talk to you when we're ready. This may be days or months, but we will talk to you about it.
Your presence alone, and a cuddle/hug makes an introvert / INTP feels relaxed just as much as talking do for you.