I think the rule of thumb is having money that already works for you. A 10k$ that's lying in a bank account is risky. But if this 10k$ is in a business that's generating let's say 100$ in a day, or maybe 50$ then that's a safety net. From my experience, this fear mostly ends when the money you have is yielding interests and actually compounding meaningfully.
RE: Financial Habits Poverty Leaves Behind