Renew SSL for subdomain website question

V7R5 server uses Apache http server to host a subdomain (orders.xyz.zom)
and has a cert for ssl on the site.
Corporate moved the domain registration (xyz.com - but not the subdomain
ssl) to a different registrar (cheaper..). Never even knew there was a
change.
Now subdomain ssl cert needs to be rekeyed (2 yr but renewed each yr). It
is still with original registrar (GO DADDY)
As usual i can generate the CSR (request) in the IBM Admin pages, but will
there be any problem when going to apply - ssl with one registrar, main
domain with another.
Site name for both subdomain and domain did not change.
There is no test system.
The network win guys think should be no problem but google ai seems to
always show same registrar examples . .

Jim Franz