Where you sometimes can have a problem (and it's happened to me before now) is that whereas it's ok replacing one or two spokes that have broken, if you get into high numbers it can really put your wheel out of kilter.
The fact that 9 spokes were broken does rather indicate stresses were at work here.
Many enthusiasts would start from scratch and do a rebuild, but if you've never attempted it before it would be a learning curve.
All that said with luck it should be ok, but just check every now and then.