Have you heard of the airmanship phrase " Aviate,Navigate,Communicate" ?
It was what pilots used to rely on to keep themselves safe before How To Handle The Big Computer Game became popular
In your scenario read the FMA.
Youve gone round from <2500' to 3000' and in flap one.
So FMA reads toga/srs/ga trk then alt* then spd/alt/ga trk. Push nav to engage nav mode for go around routing.
Your protection is autothrust speed mode at 160 knots selected.
A pilot would then suggest to his co pilot something like " Tell ATC to cancel 160kts cos its too slow if we need to manouvre" and wind the speed up to a speed that you are both happy with.
And Voila! youve Aviated Navigated and Communicated