I'd ask this from the other end of the spectrum - any tips on how to use Sekhmet more efficiently? Normally, I just call her out to tank through stuff but I can see the opposition wise up to that very quickly.
I'd also repeat my humble plea for any pointers on her neutral game (so far, I've found j.MK is amazing) and team synergy with Parasoul and Bella (my planned composition is Parasoul(Pillar)/Eliza(H Spiral)/Bella(H LNL). <(__)>
I'll have to review the frame data before saying anything conclusively, but so far in Ranked, I mostly use Sekhmet to blow through predicable attacks and as an anti-reversal. It's a terrible idea to keep her out for any significant period of time, since her neutral is terrible and punishable after every string, so I think it's best to hit-and-run with her, blowing through things such as Filia airdash offense and Fukua / Peacock midrange shitstorms.
For instance, I'll use Butcher's Blade as a reset on Parasoul or Filia to blow through Pillar and Updo / Samson, respectively, going to Carpenter's Axe xx Return, 2MK on hit confirm or just bailing out if they block. Most players are waiting for the Axe before they throw you, so it usually works to use Return after poking with one of Sekhmet's attacks, then frame-trapping with the Axe once they wise up to your antics.
Against Peacock, I've had weird success using 2HK xx Butcher's Blade. Armor through her projectiles with the boat, then blow through her assist and M BANG! with Sekhmet, which'll work until Peacock players figure out that H Brass doesn't mean they don't have to block.
As for neutral, I have the most success using j.MK, Air Dash j.MK to poke around at the tip of Eliza's range. If I'm close enough, I'll approach with j.MK, Air Dash j.LK j.MP/j.HP. You have to use j.MP if they're not grounded, since j.HP tosses them away, and you have to use j.HP if you manage to crossover after the air dash. I *want* to jump around with j.LK and j.HP, but j.LK is a bit short for non-frame advantage footsies, and j.HP is slow enough to get stomped by Parasoul j.LP, Big Band j.LK, and the like. I feel like Eliza has to be careful at neutral, because most of her buttons are slow and committed. The most reliable mixup I can enforce is j.MK/j.HP, Air Dash (j.LK j.MP/j.HP) / (j.LK, 2LK) / (delayed j.HP crossover) / (j.LK, Throw).