HI, thanks for using healthcare magic
HSG is done primarily to assess whether the tubes are patent/open. Any blockage of the tubes can result in difficulty with conception.
There is no obstruction seen in your wife's scan, it indicates that there is free spill of fluid however there is evidence of hydrosalpinx
Hydrosalpinx is a fallopian tube
that is filled with fluid.It results from previous injury
to the tube,commonly an infection.
The current fluid is sterile however there is a risk of re infection. Fertility
can still be acheived , mainly by assisted methods such as IVF.
I hope this helps