Technically speaking, the passive of "she is hating him" is "he is being hated by her". However, it is often appropriate to remove the progressive aspect when passivising a progressive verb. This might be one of those.
Generally, "X is being Yed (by Z)" is a fairly awkward phrase, but it has its uses.
That project is being worked on by Bob
The active version would be more usual, "Bob is working on that project", but if there was a need to emphasise that you were referring to "that project", the passive might be used.
"So, I was thinking we would give the foo project to Marcie."
"I thought Marcie was busy working on the bar project."
"No, that project is being worked on by Bob."
It's not perfectly natural; "that project is Bob's" would be more likely. However, it would not be seen as weird or wrong.
However, I struggle to think of uses of the progressive with a verb describing state (rather than action) that are likely to be passivised and remain progressive. The main case I can think of would be the so-called present historical, where present tenses are used to describe stuff in the past. It's popular with newspapers, popular histories, and raconteurs.
So there I am, just hating him, thinking he's a complete jerk. And he's planning this wonderful surprise, all while being hated by me - and knowing it, too.
Even that is a little contrived, and could be more formally phrased in ways that avoid such things, including the present historical, but in most dialects it would be usual to not passivise the present progressive in that way. It's not at all unusual, when one passivises the present progressive, to use to be and the past participle:
He is hated by her
The books are read by the children
The situation is made more awkward here by the fact that hate is a verb of state, or a stative verb. That means the verb describes the way something is, rather than what someone is doing. Progressive participles are unusual as forms for a principal verb when that verb is stative.