This is a very easy task and will not take much time each week (1 hour absolute maximum).
It is simply replying to direct messages on twitter, you can do this very very easily using a website called tweetdeck.
There are 3 possible responses.
1. First reply to all new followers with that users name and a pre-written reply (copy and paste)
2. Reply to anyone who responds to your original message in 1 with a further message asking for their email address.
3. Copy and paste any email addresses that are given in DMs to a google document.
That is basically it.
I would like the work to be done over 5 days with weekends off - at a set time each day - (10 mins approximately each day).
You will be given passwords and text to copy and paste when you take the job. Many thanks.