Yeah. Alsiif probably wouldn't even be allowed near the temples, unless they were going to sacrifice her. Being a daughterless mother is understood to be a form of punishment. Lolth is granting you only sons because of something bad you did. Or will do. Or because Lolth just feels like it, but in any case might makes right, Also if Lolth is punishing you, you obviously deserve it.
And, Reg, the priestesses wouldn't necessarily hate Neit for being a psion. House Ku'nal are ultra religious and have that Drow purity thing going on, but that's just them - not all priestesses necessarily view psions as abominations. Some take the Ulintajo approach and view it as a sign of Drow supremacy - even the powers of the hated Abominations are absorbed and used by the perfect daughters of Lolth.
Demonblooded priestesses are allowed, but half-Demon/Half-Drow. ones are not. Lolth gets pissy if you give her only half a Drow into her service. I mean, heck, given how often they're around Demons, a lot of half-Demons are the daughters/sons of priestesses. Or a priestess might offer a son of hers to a succubus in exchange for service. "Yeah you can have the little shit I don't care."
EDIT: Although usually a priestess will sacrifice all her sons to Lolth. I mean, why not? She benefits more from giving them to Lolth for good favor than from marrying them off.