I have had several experiences with the Bambi family......
The several that I have seen coming were avoided through full on emergency braking, which would likely be my number one response IF it is possible to see them coming.....
My closest meeting was one where there was zero time to react and braking would have been wrong..... but at the time there was no choice.... the deer came out of a country estate gate on my left, obscured from view until the last millisecond, just a few feet away, it then hesitated and then jumped, missing my back by what felt like inches but was probably a couple of feet..... THEN the adrenalin kicked in and had me on edge all the other 13 miles home.....
I was leading a rideout once and was criticised for braking to a halt when a small deer ran across the road a few yards ahead, all the other riders were city folk..... I explained that where Bambi junior is, mum and dad and several brothers and sisters are normally not far behind, or be hind?
Better to stop and let them get out of the way than risk riding through more than two or three running together....
I have also driven around a corner on a single track country road and been faced with around a dozen deer standing in the road, they simply stood there and looked at us.... until we started to drive slowly through the herd, then they ambled slowly out of the way but didn't leave the road!
Was following a friend years ago when BMW launched the K100RT, he was riding the demo with his wife on the back when a sheep bounded out from the left (nearside here) and ran straight into the side of him, looked like it was deliberately head butting him!
He kept the bike upright and stopped, the sheep made off.... the bike had some serious cracks in the left side plastic.... expensive!