My usual canned opening line is ‘Hi I’m X and I’m inquiring about your Y?’ Or just ‘Hi, I’m after some Information/advice about Y’

So basically that greets them and gives a brief idea with an opening to ask what they can help you with more specifically, allowing you to go into more detail and explain the problem.

I wouldn’t say I was great with people or the phone but I sometimes do have to cold call or email a lot of organisations.

Edit: Oh unless this is about something like counselling. Then I guess just say ‘I need help and someone to talk to.’ And they will ask what with and you can give them an area of struggle, lay out a situation in dot points, or tell them what caused you to seek help etc. Something very basic gets them to ask further questions and gets the ball rolling