new relationship

i usually don’t do this, but i just need advice… i just started seeing a guy i’ve known for years now & my daughter’s dad insists that i get a baby sitter if i ever want to get some free time bc he is not watching our daughter while i go on dates. he says it’s completely okay for my daughter to be around his female companion(s) but i cannot by any means take my daughter around this guy. he doesn’t know him & i’ve even offered to have the two meet. it just seems unfair & i have my daughter with me 99% of the time… if she’s not at daycare (i work 2 jobs) she’s with me. i deserve to have a life as well