Ruxa, Patient Professor

Auras and Equipment that grant abilities will use the words "gains" or "has," and they'll list a keyword ability or an ability in quotation marks. A creature with no abilities affected by such an Aura or Equipment would no longer get the +1/+1 bonus or be able to assign combat damage as though it weren't blocked. If the Aura or Equipment does not give the creature any abilities, the creature will continue to benefit from Ruxa's last two abilities.

Notably, neither of Ruxa's last two abilities give any creatures an ability.

For each attacking creature you control with no abilities, you decide whether it will assign combat damage to the blocking creatures or if it will assign combat damage to the player or planeswalker it's attacking. You can't split damage assignment between them. You make this decision individually for each qualifying creature just before it deals combat damage.