Nuzlocke Miracles

So I'm doing a Nuzlocke run of White 2 because I've always wanted to try one and I haven't managed to beat w2 yet. Went to Castelia Park hoping to maybe get a Petilil. The first pokemon I ran into was a FREAKING EEVEE. The thing with a 5% chance of showing up.

I... I had given up hope of having one on this playthough

Now I just need to figure out what to evolve him into haha.