TrekMovie has posted about some Star Trek deleted scenes. Unfortunallly, there’s one with Winona:
Some of the Kirk and Spock back-story
The new Star Trek is an ‘origin story’ with the primary focus on Kirk and Spock. Both have scenes from their childhoods which ended up in the final film, but some still ended up cut. However, even though they aren’t in the film, some of this footage has been used in trailers and TV commercials, notably a scene at Spock’s birth.

DELETED: Scene with Amanda (Winona Ryder) and Sarek (Been Cross) holding baby Spock
Source: TrekMovie
I hope we’ll can see this scene on DVD. 🙁
I hope they didn’t cut many more scenes with Winona. It is going to be so fine to see her in this movie. I’m definitely looking forward to it.
And like you said, hopefully they will put the deleted scene onto the DVD release. Looking forward to that as well.
– thanks for the update 🙂