Depends on what the resulting reputation with the Brotherhood of Steel was.
From The Vault wiki's "Veronica Santangelo" article:
Veronica will leave you if your reputation with the Brotherhood of Steel drops to Vilified. However, it seems that with a reputation even
as low as Merciful Thug, she will continue to happily accompany you on
your travels. It should be noted that she will remain a companion upon
destruction of the Hidden Valley bunker, although she warns it is your
last chance, similar to what happens with Craig Boone if you work too
closely with the Legion, or Rose of Sharon Cassidy if you gain
negative Karma while she is your companion.
Other player actions that may affect whether Veronica joins you or not:
- If you talk negatively about the Brotherhood in your first conversation, she won't join you.
- If you have destroyed the Brotherhood Bunker in Hidden Valley before recruiting her, she will come up to you and ask you what you know
about the Brotherhood at 188 trading post. If you tell her what you
did, she will say "Well in that case: This is for them." and attack