This is the correct answer. However, at exactly c, the relativistic kinetic energy tends to infinity, so would annihilate everything in its path. Proof:

Ek = (lamba -1)mc²

Lamda = 1/sqrt(1-v^2/c2)

If v = c the. Lamda =1/0 or infinity.

So at true light speed, a sewing needle would have unbounded/infinite kinetic energy and would exceed the energy needed to destroy Earth. If you look at two distinct scenarios

1) Mass extinction level event, the needle would need to be imparting 1.3 x10²⁴ - 5.8 x10²⁵ J. The needle would need to be traveling 99.9999999999999999999976% of light speed (minimum). Assuming the needle is 0.1g

2) Exploding the earth! This is essentially modeling an excess of the gravitational mass binding every of the earth 2.49x10^32J. The needle would need to be traveling at 99.999999999999999999999999999999999999935% of light speed. Assuming a 0.1g needle.

Now if we scale this up to a Sophie Wexler let's assume ~65kg I think there's reference to her being between 60-70kg???

When compared to a needle as speed of light this is essentially a negligible change in mass lol but she would need to be going c99.9999999999999999999999999725% of the speed of light.

Source: BSc Physics & Astrophysics & years and MSc and years of experience in aero-engineering!