I agree that a lot of the alternative nicknames for [name_f]Genevieve[/name_f] are pretty close to [name_m]Levi[/name_m]. Maybe [name_f]Ginny[/name_f], [name_f]Enna[/name_f], or [name_f]Viv[/name_f]?
Alternatives to [name_f]Genevieve[/name_f]:
[name_f]Guinevere[/name_f] (nn Guin/Gwen, [name_f]Vera[/name_f], Ginny)
Gwendolyn/Gwendolen/Gwendoline (nn [name_f]Gwen[/name_f], [name_f]Dolly[/name_f], [name_f]Wendy[/name_f], Lenny/Leni/Lennie)
[name_f]Gwenora[/name_f] (nn [name_f]Gwen[/name_f], Nora)
[name_f]Ginevra[/name_f] (nn Ginny)
[name_f]Gabrielle[/name_f] (nn Gabi/Gabbie, [name_f]Brielle[/name_f], [name_f]Elle[/name_f], [name_f]Bree[/name_f], Gabe)
[name_f]Georgina[/name_f] / [name_f]Georgiana[/name_f] (nn [name_f]Georgie[/name_f], [name_m]George[/name_m], [name_f]Georgia[/name_f], [name_f]Gina[/name_f], [name_f]Ginny[/name_f], [name_f]Giana[/name_f], Ina)
All of these have nickname options, and most have a more gender-neutral nickname too.
And some names that don't start with G...
[name_f]Eleanor[/name_f] / [name_f]Eleanora[/name_f] (Elle, [name_f]Ellie[/name_f], [name_f]Ellen[/name_f], Leni/Lenny/Lennie, [name_f]Nora[/name_f], Nori)
[name_f]Josephine[/name_f] (Josie, Jo/Joe, [name_m]Joey[/name_m], [name_f]Jojo[/name_f], Sephie)
[name_f]Adelaide[/name_f] (Addie, [name_f]Della[/name_f], [name_m]Dell[/name_m], [name_f]Lady[/name_f], [name_f]Adele[/name_f], Ada)
[name_f]Evangeline[/name_f] (Van, [name_f]Angie[/name_f], [name_f]Lina[/name_f], +the eve nicknames that may be too close to Levi)
[name_f]Cassandra[/name_f] (Cass, [name_f]Cassie[/name_f], [name_f]Andie[/name_f], [name_f]Andra[/name_f], [name_m]Sandy[/name_m], Sandra)
[name_f]Isadora[/name_f] (Isa, Izzy/Izzie, [name_f]Sadie[/name_f], [name_f]Dora[/name_f], Dottie)
[name_f]Matilda[/name_f] (Mattie, [name_m]Matt[/name_m], [name_f]Tillie[/name_f], [name_f]Millie[/name_f], Tilda)
[name_f]Penelope[/name_f] (Penny, [name_f]Nell[/name_f], [name_f]Nellie[/name_f], [name_f]Poppy[/name_f], Lola)
[name_f]Florence[/name_f] (Flora, [name_f]Flo[/name_f], [name_f]Lori[/name_f], [name_m]Ren[/name_m], Lola)
[name_f]Rebecca[/name_f] (Becca, [name_m]Beck[/name_m], [name_f]Bex[/name_f], Ebbie)
[name_f]Charlotte[/name_f] (Charlie, [name_f]Lottie[/name_f], [name_f]Char[/name_f], Callie)
[name_f]Elizabeth[/name_f] (Elle, [name_f]Ellie[/name_f], [name_f]Eliza[/name_f], [name_m]Eli[/name_m], [name_f]Liza[/name_f], [name_f]Betty[/name_f], [name_f]Beth[/name_f], [name_f]Lizzie[/name_f], Ebbie)
[name_f]Eloise[/name_f] (Elle, [name_f]Ellie[/name_f], [name_m]Eli[/name_m], [name_f]Lola[/name_f], [name_f]Lou[/name_f], Lois)
[name_f]Angelina[/name_f] (Angie, [name_f]Annie[/name_f], [name_f]Anna[/name_f], Lina)
[name_f]Angelica[/name_f] (Angie, [name_f]Annie[/name_f], Anna)
[name_f]Aurora[/name_f] (Aura, [name_f]Ora[/name_f], [name_m]Rory[/name_m], Rora)
[name_m]Bellamy[/name_m] (Bella, [name_f]Belle[/name_f], [name_f]Amy[/name_f], [name_f]Ella[/name_f], Emmy)
[name_f]Victoria[/name_f] (Vicki, [name_f]Tori[/name_f], [name_m]Vic[/name_m], [name_f]Ria[/name_f], Via)
[name_f]Cordelia[/name_f] (Cory/Corey, [name_f]Delia[/name_f], [name_m]Dell[/name_m], [name_f]Della[/name_f], Cora)