Is this considered morning sickness?

So, I am almost 11 weeks now, and I have felt nauseous throughout my whole first trimester but have yet to throw up.... but... I know this sounds weird but I have diarrhea after EVERY meal. Like I cannot keep anything in my belly!! I have no appetite really. Everything I eat goes right through me. I’m wondering if this is an alternative to throwing up during morning sickness? Did anyone get really bad diarrhea and stomach aches after eating during their first trimester? Sorry if this sounded weird guys!