nothing will blow.
what you wanna do, is just connecting sound(not electricity), to effect processor and to amplifer. In general, sound doesnt kill anything. It will just pass from one circuit to the other as long as your input to output to input is connected correctly.
Just be sensible in the volume. Dont turn up to loud volume if unsure of what will happen.
The acoustic amp doesnt care if its geetar, bass, acoustic geetar or even a game console(yes, i have connected psp, ds lite to geetar amp/bass amp, nothing blown yet), as long as the input match the output and output to input. The amp will ampliy. Whether or nor the sound is decent, thats another issue.