I keep my Juniper outdoors. Anyhow, this past week here in Southern California
we've (relatively) had a lot of rain. Maybe like an 2 inches per day. Anyhow,
my juniper is like in a 2 inch deep pot and it got a good soaking daily for 4
days. Sould I be a bit worred about over watering? It's now sunny but sould I
be worred about these last few days?

If you have a period of heavy rain, keep the pot tilted so it drains
completely. If you have decent bonsai soil, it should not be a problem.
Iris,
Central NY, Zone 5a, Sunset Zone 40
"If we see light at the end of the tunnel, It's the light of the oncoming
train."
Robert Lowell (1917-1977)