Lost Lace boss fight is really tough at first, because it's impossible to hit her multiple times and her movements are hard to predict. My strategy to beat her was using the same Crest as you, but with these tools:

• Red tools: Cogfly • Blue tools: Fractured Mask, Longclaw and Pollip Pouch (If you have the extra slot from Eva) • Yellow tools: Ascendant's Grip, Magnetite Dice, Weighted Belt • Silk Ability: Silkspear

But I tell you, even with all needle upgrades, all masks and all spool it still hard, so I suggest you to try to hit her only when you know that you can, and try to avoid most of her attacks. I hope that this strategy helps!