I do not think there are "clear medical" complications for the mother associated with lactation. Most of the drugs she might be receiving would be compatible with breast feeding - but those used should be assessed.
The baby will benefit from breast feeding.
The mother may benefit emotionally by "continuing to contribute" to the welfare of her baby by supplying breast milk. This is at a time when she is probably feeling separated from her baby and her sense of motherhood.
That said, if the mother finds the efforts "burdensome," her sense of what should be done should be respected.
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