Horacio,
If your access switch is using only a single physical link to the 6509 distribution switch, and this link goes down, then the access switch will be totally cut off the network. You need to have multiple physical links connecting the access switch to the distribution layer to be able to maintain connectivity.
HSRP is not about providing resiliency between switches. HSRP provides gateway redundancy for IP-speaking stations only, and is not concerned about finding alternate switched paths in a network.
Best regards,
Peter