Sure, the only objection anyone could have to, say, Heidi Allen is that she's a woman. Wouldn't (and couldn't) have anything to do with the numerous parties she's belonged to this year and her failure to behave honourably, resign her seat and fight a by-election to give her constituents the choice of whether to continue with her even though she's now standing on a completely different manifesto to the one she was originally elected on or not.
And, it goes without saying that the only problem her constituency party could have with Louise Elliman is that she's Jewish. Her voting record is immaterial. Same with Luciana Berger who's again been in more parties this year then some of her food bank-using constituents have had hot dinners.