Can we celebrate a festival during sūtak?

traditionally the festival pūjā is skipped during sūtak (birth or death), but you can pray in your heart.

During the impurity period after a death (aśauca) or after a birth (janana sūtak), the custom is not to perform festival pūjā, not to touch the home shrine and not to distribute prasāda. If a festival such as Dīpāvalī or Navarātri falls in that window, the family usually lets it pass quietly. Birth sūtak feels very different — it is a joyful time — but it is still traditionally a pause from formal worship while mother and baby rest.

Some families, once the sūtak ends, do the missed pūjā on a suitable later day, for example on the next Ekādaśī or Pūrṇimā; others simply resume normal worship. Relatives outside the sūtak can of course celebrate, and sometimes they do the pūjā on the family's behalf.

Never think God is displeased because you could not celebrate. The rule exists to protect a time of rest or grief, not to create guilt.

Source: Dharmasindhu; common practice

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