Don't do 'real' approach control, so with that caveat .... why did A issue a level above traffic in the hold when it obviously knew that the traffic going around was starting off
below it ?? Was FL45 the minimum level available ??
That said, in the abscence of a specific co-ordination for the aircraft being in the climb, then it is incumbent for B to deliver the aircraft at the agreed level at the agreed transfer of control point.
But if you ask
Standard Noise, it was probably NATS' fault somehow