I would suggest transferring the file to your computer and trying to send it via email or another online hosting method. Have you considered using Google Drive to upload the file, and then setting the "sharing" options so you can send someone a link to download the video? File size does tend to be an issue with video recording; if you know you're recording a video you need to share right away, there may be quality options on the camera that let you specify you're going to be sharing the video.