Tricky, in that ski out usually goes with altitude (particularly that early in the season!) which often goes with longer transfer times.
Of the big French resorts where you’ll find hotels with pools, your wife may be ready for la Plagne but that is 3 hours (plus) from Geneva. Avoriaz/Morzine/les Gets and la Clusaz might have possibilities but I’ve never been so cannot assess the skiing.
In Flaine I believe some new apartments have pools. Your wife should really enjoy some of the runs above Morillon and les Carroz but not the getting across to them.
Andorra? I know nothing. Switzerland? longer transfers to the places I can think of.
In Italy, of the places I’ve been, if you can compromise on the ski-in/out then Cervinia has the skiing. You need a good street map to make sure of being close to the snow.
In Austria I don’t know Obertauern so that leaves Obergurgl, which I enjoyed in December but the skiing might not challenge you enough. Hochgurgl hotels are ski in if you can tolerate walking up a flight of steps to the lifts for getting out. Obergurgl itself has more ski in than ski out so again study a street map very carefully. From rumour I suspect that gets booked up as quickly as Oberlech.