Okay, just talk to your Pediatrician about this.
That is how you will get professional... advice.
A "baby" cannot decide for herself.
I know some kids/families, who are raised vegetarian. But one of the kids is real unhealthy. The other, is healthy because he is given a range... of foods to eat and is not held to a rigid sense of eating. Although he MAY SOMETIMES choose, to eat vegetarian.
Ultimately, you NEED to talk to your Pediatrician about this.
For a child's physiological and brain development, a baby and toddler etc., needs a certain amount of fats/minerals/vitamins/calcium/protein to grow.
If your child... LIKES the way you eat, BUT is also getting a full range of needed vitamins/fats/minerals for her proper bone/muscle/brain/body development... then fine.
But, if the way you feed her, is not balanced per her age related needs for proper body/brain development, then what?
Thus, you need to get Professional, suggestions about this.
My Spouse is Vegan. Which is stricter than vegetarian. My kids are 7 and 11. BUT, he does not make, me or them, eat like he does. Sure, the kids can decide on their own. BUT... one thing about kids is... developmentally, and cognitively... they are fickle. What they decide today, is NOT what will be 4 months later. Nor even 2 days later. They cannot nor do not, STICK to a way of eating... continuously and concretely, like you or any adult. Nor forever.
My kids like my Husband's Vegan foods. Fine. But they can and do, eat anything else. And I feed them, according to what a kid needs per their age and per what our Pediatrician says.
I am not of the view, that you can "make" a baby/toddler/child "be" Vegetarian. Nor forever. And even if that child does eat "vegetarian"... one day she may not. And if she does not... is that going to be okay with you, personally? It should not be a choice of "pleasing" the parent. Eating should not be an "emotional" thing. That just causes eating dysfunctions.
And eating, should not be a thing... where it is an issue between the parents. Because then, the poor child will have to, mentally and emotionally... try and "please" both parents. A child, should NOT be put in that position. Eating... should not be a "problem." Nor an issue between parents, upon the child.
You said you are Vegetarian.
Is your Husband?
Ultimately again, you need to consult with your Pediatrician. Get medical, advice about it.
A child, should not feel bad... for what they eat if it upsets the other parent.
That is not right.
A child should not be put in that position.