Twelve sessions a week against 1,100 kcal a day — 7700 kcal for the week — and at that intake the binding constraint is almost never the session count. Protein at 4 kcal per gram is the reason: 100 g a day is 400 kcal, 36 per cent of 1,100, and 2800 kcal of the 7700 for the week spoken for before anything else is eaten. 12 sessions also has to be recovered from on 1,100 kcal, and recovery is the first thing an energy deficit takes. Load matters more than frequency here: the stimulus that preserves mass is mechanical tension, so keep the weight and cut the volume rather than the reverse. None of this is medical or dietary advice.
The relevant detail is that progression in a deficit is measured in maintained performance rather than added load, and reframing it that way prevents a lot of discouragement.
Appetite suppression reduces training fuel as well as protein, and low-carbohydrate sessions feel much worse than they perform. Judge by load, not by feel.
Two sessions per muscle group per week outperforms one at matched volume in most of the published comparisons, mainly through better session quality.
Frequency studies generally favour twice-weekly over once-weekly per muscle group at equated volume.
Nothing here is medical advice.
In a deficit, maintaining performance is progression. Reframe it and stop being discouraged.