It would not be possible for the OBi to do exactly what you want, because until a POTS call is "answered", a device cannot "listen" for tones.
If her VN mobile can block caller ID on a per-call basis, she could use that to call home and the AA would not answer.
You can set up the OBi so her call would ring the phone port for say, two or three rings, then be answered by the AA.
It may be easier for her to call a different number to access the AA, e.g. a Rebtel access number (which would be free, if it routed to her OBi via iNum).
Or, some other arrangement may be more suitable.
For more specific advice, please post:
Do you also have an OBi in the US? If so, with which service(s)?
Will she mostly be calling you, or will she be calling many other international contacts?
Does she have a smartphone with Internet access?
On her mobile plan, what does a local call cost? An incoming call?
What have you set up (or are planning to set up) for you to call her? If it involves the OBi calling her mobile from the PSTN line, is that free?