I can tell you that the current will be limited to a very low value as I can see that the transformer has a very high leakage inductance: look at the coil spacing and the massively oversized secondary.
I'd recommend measuring the short circuit current, take a fairly low value, power resistor resistor (say 100R, 5W), connected it across the secondary of the transformer and look at the voltage waveform on a 'scope. It'll probably be around 1V RMS which indicates a current of 10mA and presents a low risk of a severe shock, especially at the high frequency generated by a flyback.
Note, don't short circuit it for too long and keep an eye on the temperate of the driver transistors.
How are you powering it? If it's from the mains you won't find a power supply capable of providing sufficient isolation at this voltage, the danger is, if one side of the HV is connected to earth it will arc across the transformer. If you don't want to earth the DC side, connect both the +V and 0V to earth via 10nF class Y2 capacitors.