It does not affect her career whatsoever to continue as she has been doing and playing solo gigs to LGBT+ audiences.
Yes she's lost the opportunity to tour with the band but frankly they could have disagreed on anything from the set list, musical production, costumes, tour timescale etc. One reason is as good as another and none needed to be made public.
The only impact on her current career by releasing this statement is to benefit her by weaponising the position of her former band mates to secure additional positive PR wrt her target audience.
It's a pretty cynical move and one that may potentially benefit her in the short term, but could have longer term consequences given the public mood and the fact she's blown off for good the chance of the band ever reforming again.