You said in a comment that you want to delete (drop?) empty tables. If you don't want an exact count but only want to know if a table is empty you can do a shortcut count:
select count(*) from table_name where rownum < 2;
The optimiser will stop when it reaches the first row - the execution plan shows a 'count stopkey' operation - so it will be fast. It will return zero for an empty table, and one for a table with any data - you have no idea how much data, but you don't seem to care.
You still have a slight race condition between the count and the drop, of course.
This seems like a very odd thing to want to do - either your application uses the table, in which case dropping it will break something even if it's empty; or it doesn't, in which case it shouldn't matter whether it has (presumably redundant) and it can be dropped regardless. If you think there might be confusion, that sounds like your source (including DDL) control needs some work, maybe?
To check if either table in two schemas have a row, just count from both of them; either with a union:
select max(c) from (
select count(*) as c from schema1.table_name where rownum < 2
union all
select count(*) as c from schema2.table_name where rownum < 2
);
... or with greatest
and two sub-selects, e.g.:
select greatest(
(select count(*) from schema1.table_name where rownum < 2),
(select count(*) from schema2.table_name where rownum < 2)
) from dual;
Either would return one if either table has any rows, and would only return zero f they were both empty.