A female connector including a guide extending in a first direction, a pair of support portions on one side in the first direction relative to the guide, an insulative female body between the support portions, a female terminal held in the female body, and a shaft. The guide guides a mating male connector in the first direction floatably along a second direction orthogonal to the first direction. The support portions are spaced from each other in the second direction and each have a support hole passing therethrough in the second direction. The female body has a through hole passing in the second direction through at least a portion in the second direction of the female body. The shaft is received in the support holes of the support portions and the through hole of the female body so as to support the female body floatably along the second direction.