it connects patients to hospital staff...
I would need a lot more details to properly help you with this, but in general the first stage is to understand who your target market is - this isn't always who will use the software, but who will be paying for it. Depending on who this is, you would decide how to target them. For example, if it is the COO of the hospital, then you would try find a mutual connection, get an intro, and do a demo (cold emails probably won't work).
If, on the other hand, the person paying is the patient, then you would go about it entirely differently.
The method also depends on the country, type of service, cost of service etc.
Bottom line: I'm happy to help, but you need to provide a lot more details.
I've successfully helped over 350 entrepreneurs, startups and businesses, and I would be happy to help you. After scheduling a call, please send me some background information so that I can prepare in advance - thus giving you maximum value for your money. Take a look at the great reviews I’ve received: https://clarity.fm/assafben-david