There are a number of different synonyms that you might choose to use for the phrase "out into open". Some possibilities might include phrases like "into the light", "out from the shadows", "into the sunshine", "out into the open air", "out from under cover", or even "into the bright blue yonder". Essentially, these phrases all suggest a movement from a more protected or secluded location into a more exposed or public one. This could be a metaphorical transition as well, suggesting someone who is overcoming an obstacle or making themselves vulnerable by speaking openly about something that they were previously hiding or keeping to themselves.