The mosfet, and diode D1 overheat.
1.
You are drawing 1A output. The diode D1 is carrying 1A average. This is sufficient to make it too hot to touch, even though it is rated for 2A (your schematic shows it is an FR207).
It would run cooler if its leads could dissipate the heat to a heatsink, or some substantial piece of metal, or wire, etc.
2.
It is important that the mosfet turn fully on and fully off. Its resistance should alternate between very high and very low. That is the only way it can run without dissipating heat. If it spends much time at a midway resistance, then it is wasting power needlessly.
Can you verify that the mosfet is turning fully off and fully on?
3.
For a given transformer there is a suitable range of operating frequencies, and duty cycles, in order to obtain the power you wish. That is, if it is even within possibility for that transformer.
The control IC must find the correct combination, in an effort to produce your target volt level at the load. If it has trouble settling at the right combination, then it may result in the mosfet overheating.