i suppose it is okay if you two are not "exclusive".. personally i date one person at a time. but maybe that's just me..
I think it's ok if you aren't having sex with them and the relationships are casual
You're right to feel the way you do and as long as neither of you have made some kind of commitment you are both free to see who you like but this light foreplay would certainly put me off as she's clearly not really thinking about anyone else's feelings but her own. Sounds like a bit of an attention seeker to me.