Hope to save a new relationship

I am am a producer and an actor in a show. I have been attracted to one of the other actors (woman) in the cast. I stood up for her in casting when the director originally did not want her. We had a flirty relationship during rehearsals. We wound up talking about the relationship and our mutual attraction just as the show opened. In short I think I became needy very soon in the relationship. She said she felt I was chasing her. She even insisted on changing one scene because it was a bit intimate. I get her message. She is very talented and besides a romantic relationship I would like to work with her again. I feel we were very compatible before my needy feelings came to the surface. We only have two weekends before the show ends. I would like to make amends and hope to rekindle what we had. Is it to late? Any ideas what I can do that does not come across to needy that will get her interested again.

Be aloof - like she's just another member of the cast - no special attention, no special "hello" of any sideways glances. Don't ignore her completely, just be natural. If she's into you - she'll come knocking before your two weekends are up - otherwise move along.. Good luck - L