B. The gateway will assign a default role to the client.
This is incorrect because the premise is that the gateway did not receive a role; therefore, it cannot take any action, including assigning a default one.
C. The switch will assign the default deny role to the client.
This is incorrect. The switch's default action is to revert to local forwarding on the access VLAN, not to apply a specific named "deny role".
D. The gateway will send back the deny role to the client.
This is incorrect as it contradicts the question's scenario where the gateway does not specify any role for the client.