Hi,
We call this dns doctoring ( resolving the above issue ).
Through this,basically when inside client tries to access SUE,the ip address which external dns server sends back is public but ASA convert it to private ip of SUE.
you would have a static command in ASA/PIX
static (dmz,outside) < private ip of sue>
Remove this static and add :
static (dmz,outside) < private ip of sue> DNS
For further reading,just search dns doctoring on cisco.
There is one more way,
static (dmz,inside) < private ip of sue>
through this,when inside comp. would receive public ip of SUE,then the above static command would send it to actual ip of SUE is dmz.
Please rate if helps.
Regards,
Sushil