Using hotmail and zoho emails at the same time for one domain

Using hotmail and zoho emails at the same time for one domain

Dear All,

I have tried to find a solution many days but I wasn't successful. 

Now I use three emails with hotmail provider. They stopped supporting any changes with emails or adding new emails. I wanted to have one more email, so moved to office 365 but they are too expensive for my purpose and I had trouble with running both clients. Now I started using Zoho, set up all records successfully and tried to send an testing email to my emails. The email got back to me and wasn't delivered, see below the message. I know I should delete all hotmail MX records according to Zoho setting but I would like to use hotmail for those three emails at the same with Zoho. Is it please possible to do that? I tried to play with priority but it didn't work.

My domain is ara.cz. The idea is to have three emails with hotmail and others with Zoho.

Here is the message:
Technical details of permanent failure:
Google tried to deliver your message, but it was rejected by the server for the recipient domain  ara.cz  by  ara-cz.mail.protection.outlook.com

Many thanks,
Jan