The June 3rd New Moon (12 deg Gemini) doesn’t make any major aspects. I use tight orbs so I’m not considering the wide square to Neptune in Pisces or the even wider opposition to Jupiter Rx.
So we have a new beginning with multiple layers that’s pretty much pure Gemini. There will be more than one option or path, and since this is just beginning, you may not be sure about which path to take, just yet. New Moons are dark- the issue is still forming and much is not visible.
Gemini is the sign of duality, and with a Sun/Moon conjunction we have the unification of two energies. So there be themes of male/female, father/mother, conscious/unconscious. This Moon does make a trine to Pallas (strategies) in Libra. While not a major aspect, it suggests support for social strategies and the harmonious unification of two sides. Good if you’re attempting to start a diplomatic conversation or relationship compromise, because there will be a heightened awareness of what everyone wants.
This Mercury-ruled sign is about the exchange of information and the gathering of new ideas, so communication will be huge. But again, what you learn or say will not be focused in one direction. You may be dealing with two sides of the story, or an understanding of someone’s dual nature.
Mercury enters Cancer (ruled by the Moon) on June 4th, so one of the first developments may be lunar themed - the energy of needs and moods will dominate as the discussion heads into emotional territory.