Emergency fund gone.

I had 3k in a private bank account I saved working two jobs before my daughter was born for an emergency fund

This year my wife had some major car problems and time where she was out of work so my emergency fund is now like $50

Am I a bad parent for not having this money anymore for emergencies? I feel very financially vulnerable knowing it’s gone. Which seems stupid to me because for 20 yrs before this I’ve never had any money for an “emergency fund”.

Ps. I am working to build it back up but it it’s gonna be a slow build as I can only save ~100mo currently.

All comments and opinions welcome thx.