Even when he is in charge, he can't stop his corruption trial. Netenyahu began testifying mid December, and I believe is still expected to give further testimony. Currently, the trial is on hold due to a surgery, but should resume soon.
Him being PM definitely slows things down, but Israel has no problem trying an active head of state.
Reading the orders, the gender one is much more impactful.
Canceling DEI programs cancels those programs, which just isn't that impactful. Maybe it slows or reverse progress on equality at the population level. But an individual is not going to notice a difference (unless they were explicitly working in administering it). Further, those DEI programs were only for federal agencies, which are going to have a much bigger culture shift from the coming idealougical and loyalty purge. Minorities are still protected by strong anti discrimination laws and the 14th amendment.
The anti trans order, in contrast, declares that trans people don't exist. And the entirety of the federal government must act accordingly. This will have a direct effect on every openly trans person in the country. Further, the legal protections trans people have are based entirely on an interpretation of gender discrimination laws that the current Supreme Court seems unlikely to endorse; and which Trump has directed the Attorney General to not follow.