I have altered your constraint to add the "ON DELETE CASCADE", without which Oracle will raise an error.(The default for foreign key violations is delete restrict)
I believe the answer to your question is "NO", Oracle does not warn you about the unindexed foreign key column. In practice, most such columns are indexed, since this is how you would be joining the parent to the child.
If you want to prove to someone that not having an index will cause locking issues and escalations (something not very desirable), you could simply disable the table lock and show the error.
SQL> alter table child disable table lock;
Table altered.
SQL> delete from parent where parent_id = 10;
delete from parent where parent_id = 10
*
ERROR at line 1:
ORA-00069: cannot acquire lock -- table locks disabled for CHILD
And for the explain plan question, as others have pointed out, the sql to delete from the child table is a recursive SQL and is not shown in the explain plan.
If you TRACE the session, you'll see the recursive SQL.
1* alter session set SQL_TRACE = TRUE
SQL> /
Session altered.
SQL> delete from parent where parent_id = 10;
1 row deleted.
SQL> commit;
Commit complete.
SQL> alter session set SQL_TRACE=FALSe;
Session altered.
=====================
PARSING IN CURSOR #2 len=39 dep=0 uid=65 oct=7 lid=65 tim=763167901560 hv=3048246147 ad='3160891c'
delete from parent where parent_id = 10
END OF STMT
PARSE #2:c=0,e=61,p=0,cr=0,cu=0,mis=0,r=0,dep=0,og=1,tim=763167901555
=====================
PARSING IN CURSOR #1 len=48 dep=1 uid=0 oct=7 lid=0 tim=763167976106 hv=2120075951 ad='26722c20'
delete from "RC"."CHILD" where "PARENT_ID" = :1
END OF STMT
PARSE #1:c=0,e=42,p=0,cr=0,cu=0,mis=0,r=0,dep=1,og=4,tim=763167976100
EXEC #1:c=0,e=291,p=0,cr=7,cu=7,mis=0,r=2,dep=1,og=4,tim=763168080347
EXEC #2:c=0,e=130968,p=0,cr=8,cu=14,mis=0,r=1,dep=0,og=1,tim=763168091605
STAT #2 id=1 cnt=1 pid=0 pos=1 obj=0 op='DELETE PARENT (cr=8 pr=0 pw=0 time=130887 us)'
STAT #2 id=2 cnt=1 pid=1 pos=1 obj=58703 op='INDEX UNIQUE SCAN SYS_C006951 (cr=1 pr=0 pw=0 time=19 us)'
STAT #1 id=1 cnt=0 pid=0 pos=1 obj=0 op='DELETE CHILD (cr=7 pr=0 pw=0 time=233 us)'
STAT #1 id=2 cnt=2 pid=1 pos=1 obj=58704 op='TABLE ACCESS FULL CHILD (cr=7 pr=0 pw=0 time=76 us)'
Useful Links : http://www.oracle-base.com/articles/10g/SQLTrace10046TrcsessAndTkprof10g.php