This is a wonderful design! I think it will look "furrier" without the outline, sort of more doggy. I'm sure your editing eye will let you know what you think is best.
It looks very pretty. Those outlines can be tricky beasts at times.
I admire and envy your productivity! my score today is three towels embroided while sewing a hooded and lined baby jacket from scraps of fleece. Not very impressive by any standard.
Outlines sometime wreck a lovely design for sure Looks great hugs