Credit: u/Minute_Study_5178

It was mentioned when we first get introduced to her character that she was Stalin’s favorite because she could “see things before they happen”.

She might also have mind reading abilities as she tried to read Indy’s mind and seems confident it would work.

That being said, she doesn’t seem to have any other abilities typical of a force sensitive so her powers would be very mild compared to a jedi or sith.

We see that the crystal skulls are powerful and when Spalko interacts with the aliens too powerful for her to handle. The skulls would be a very powerful version of a kyber crystal which agumented Spalko’s powers beyond what she could physically handle hence her screaming “no more” just before she dies.