How do I retrieve my hotmail account which I deleted off my iPad but want it back now?

If you have set up your email account as an IMAP account, your emails are on the server, but if you delete them on your iPad, they are also delete on the server.
if you have set up your email account as a POP3 account, your emails are downloaded to your iPad ... if you delete them on your iPad, they are still on the server, so you can retrieve them. However, POP3 accounts don't show you the email folders that are on the server. You need to decide which is more important to you. On the iPad, do you want privacy (POP3) or flexibility (IMAP).
A POP3 account will also continue to use up more space (memory) and not clean-up (clear) ... eventually, you will have to delete the account to try to minimize the amount of used space. I don't know why it does this, but I have been fighting this problem for 4 years on two different versions of the iPhone. My iPhone is setup as POP3, while my iPad is set up as IMAP. I have not found a good answer to this problem.

Do you have backups on iTunes or iCloud? If not, you may need a professional iPhone contact recovery program on your computer.
How to Recover Deleted or Lost Contacts from iPad

go to www.hotmail.com and sign up there then go on your ipad and put your Hotmail account on the ipad.

You should have a kindle cloud, your stuff should be there. Is it on your wife's ipad, under the kindle icon? Have her put what you lost in her iCloud. You should be able to retrieve it then

Password?
A thumbs up would be greatly appreciated if this answer is helpful to you.

Settings/Mail, Contacts, Calendars then tap the account you're having trouble with.

Assuming you're using an IMAP account, tap the account user ID on the first line. Scroll to the bottom and tap Advanced.

Tap Deleted Mailbox. In the ON THE SERVER section, tap Trash (making the Trash mailbox on the server your "Trash" location). Back up to Advanced and make sure MOVE DISCARDED MESSAGES INTO: is set to Deleted Mailbox.

You may want to do the same thing for your Sent Mailbox (using Sent on the server for sent messages - so they're retrievable from your desktop).

This fix may result in all the old deleted messages on the iPad being moved to the server and then showing up again in your deleted messages on your desktop. The Mail app will eventually delete them as it does any deleted messages according to its settings.

How to Recover iPad Data with iPad Data Recovery 2018 Update DataKit

It depends on how your hotmail was setup on your iPad. If it was setup as POP3 connection, then you can still retrieve your email using a broswer to log into Hotmail.

If it was setup as IMAP then whatever you delete from your iPad will be delete on Hotmails server as well. Double check your Trash folder to see if its still in there. If that has been deleted, then there is no way to get your mail back.

If you backed up your messages to iTunes, you can retrieve them from iTunes. Just connect your iPad to the computer, and then sync the lastest data.
If you have no backup, you also can recover the deleted files on iPad, just recover messages in your iPad. And there is a step-by-step tutorial may help you recover.
Good luck to you.