3♣ = can be artificial, doesn't promise any clubs, can be also GF with 4 exactly hearts or near 2♣ opener spade one suiter.
Responder expected to bid 3♦ with most hands, so 4♣ is showing probably 7+ clubs though not specifically discussed.
You had no way to show an invitational club one suiter directly over 1♠, 3♣ would have been Bergen, so the only option other than 1nt is to GF with 2♣, please note if you disagree with 1nt under these circumstances. Also if you think this hand should bid 5♣ rather than 4♣.
What now?
What's rdbl by responder supposed to show? What's rdbl by opener supposed to show if responder passes?
What's the difference between 5♣ here vs. pass followed by 5♣, without any specific discussion?
What were you supposed to bid if the opening leader hadn't doubled to tell herself what to lead?