Telling the op who has posted a picture of a Transformer, that it is not a transformer is confusing matters
No, you insinuated putting a 240v lamp and lampholder in his existing fitting, its clear in the pic its an open fitting without a terminal block or cable restraint, so that option is rough as ****
Also 240 volt may not be suitable in the bathroom
To the op
If there all aurora transformers, aurora are uk based and will advise on what single led is compatible on that transformer.
you can also get nice enclosed led fittings all sealed up, there all in one with the driver and sealed led bulb, for about a tenner these days, the transformers will need removing and the wires, if long enough, direct into the light connector, or a hager J804 junction box where the transformer was and a short flex from that to the light.
Once done possibly good for at least 2 years, plus no more insulation and dust falling through the open fitting how many fittings are there