To OP -

If you want to meaningful response from Hyatt, either corporate or the specific property, the key point of your complaint is "hotel not sending help when requested", not attempted illegal entry or bloody handprint". I truly sympathize with your experience, and it must have been very terrifying for you, being in a foreign country and getting no help. However, I've learned the hard way (I'm sure many FTers have as well) that putting as many accusations as possible into a complaint is never going to work well. In your case, the hotel should've sent help even though it's just a drunk guest trying to enter the wrong room, regardless of whether you're fearful or not. This is the key point I would've highlighted in a complaint.

Also, while I'm sure you want to hear a heartfelt apology and a sincere plan of how they'll improve - forget it, you're never going to get it, if I'm being honest. Large corporations almost never admit to their fault in a meaningful way because of legal implications, especially that you've escalated the case to a "security incident" - which, again, isn't wrong on your part but isn't helping your claim either. Just ask for some tangible compensation, such as a refund or, if you care, Hyatt points.

Thank you for sharing your experience. I'm sure it's helpful to many posters or readers here on FT.