Deltas are not lakes. A delta is a depositional landform where a river splits into distributaries and deposits sediment at its mouth into a standing water body (ocean, sea, lake, reservoir).
Deltas contain lakes: distributary-channel lakes, backswamp lakes, oxbows. But the delta itself is land, not water.
Confusion arises because "delta" sounds like "lake" in some languages, and deltas form in lakes (e.g., Lake St. Clair, Lake Pontchartrain). The landform is the deposit, not the water.