Moon square Lilith (orb 1.1°) creates concrete friction between the two planets. The orb is very tight; this describes a stable character pattern more than a passing reaction.
Here, Moon in Gemini in House 8 brings personal dream, play, inner child, childhood imprint, mother figure, mother image, optimism, and inner rhythm into House 8 (sexuality, shared power, crisis, and invisible bonds), with Gemini style (curiosity, language, movement, and mental adaptation); Lilith in Virgo in House 11 brings pure ideal, absolute demand, fascination, and refusal of compromise into House 11 (networks, audience, groups, ideas, ideologies, political beliefs, and collective projects), with Virgo style (precision, method, usefulness, and attention to detail).
Concrete friction: this aspect creates tension between attachment, childhood imprint, mother image, personal dream, and a non-negotiable ideal. House 8 (sexuality, shared power, crisis, and invisible bonds) is in friction with House 11 (networks, audience, groups, ideas, ideologies, political beliefs, and collective projects); this can create blockage, inhibition, overreaction, or repeated conflict between the two fields.