It looks like medicine of some sort
What ever it is, I don't think it was even visible in her purse.
Look closely at the zoomed in shot that I posted. You'll see a square area that appears to have been an added layer (containing the alleged condom). The area appears have been 'smoothed' to blend in. But the pixels are distinctly different from the rest of the purse.
I'm convinced that whatever that square object is, it wasn't in Hilary's purse. It was digitally added to the picture.