But her friend who allegedly asked her to be a "trusted courier" for the money was found guilty of the offence.
The Old Bailey heard Nawal Msaad, 27, attempted to take the stash of 20,000 euros (£15,830) in rolled-up notes on a flight to Istanbul from Heathrow in January.
She did it for her friend Amal El-Wahabi, 27, whose husband Aine Davis, 30, asked for the money, having left the UK to pursue a jihadist cause in Syria.
The plan was scuppered when Msaad was stopped at the departure gate and she produced the cash, which had been hidden inside a condom but had fallen out into her pants.
Msaad, of Holloway, north London, and El-Wahabi, of north west London, denied the charge of making money available with "reasonable cause to suspect that it would or may be used for the purposes of terrorism".
The jury cleared Msaad but convicted El-Wahabi after five days of deliberations.
El-Wahabi is the first Briton to be convicted under terror laws of funding jihadi fighters in Syria.
She will be sentenced on September 12.
Trial judge Nicholas Hilliard QC warned El-Wahabi she faced a jail sentence.