Thoughts cannot kill you (anymore than anxiety/feeling scared can), only actions can. If you do not want to go inpatient, do not want to think these thoughts; what else can you do? Well, you can post here, which you have done! Good job. You can distract yourself from the thoughts, replace them with other thoughts by reading and posting online, etc.

What else? Can you go out to the library, store, meet someone for a snack/to talk? What would you like to do rather than have these thoughts/go to the hospital?

If you think you would feel calmer; call your T and discuss other options? Remember, they are thoughts; do you feel in danger of doing anything specific? No one can "make" you act on your suicidal thoughts.

I helped myself once when I was having thoughts with making a doctor's appointment for a couple weeks away; I focused on the future in other words. What else might be coming up in your life besides your pdoc appointment end of August? Can you call the office and see if they can get you in sooner?