First LD, what sort was it?

This is the first LD I have memory of, it happened some time last year, I think around sep/oct.
I was sleeping and was then awoken by my mum, I then went back to sleep and started dreaming. I cant remember how I knew but I realised I was dreaming, I got very excited and the dream started disapearing, but I had previously read up on lucid dreams so knew I had to stay calm. Anway I stayed lucid for a while but then got distracted by some car chase.

Is this a DILD? Or a DEILD? Or something else?

Thanks.

Sounds like an accidental WILD.

If you didn't directly enter the dream after your mom woke you, then it's not DEILD.
If you can't remember entering the dream (consciously), then it's not WILD (and definitely not DEILD).

I'd say, it is a dream induced lucid dream. You probably noticed you were dreaming sometime after the dream started.