To Bake...Or Not To Bake? Edit

🇰🇷Deborah★★★🇰🇷
So, recently I came in conflict with something I belief and was worried about.
I'm LDS ('Mormon') and had someone come and ask me a question about my personal cake business that I have going on. They had asked, "Because of your beliefs in the church, would you still make a cake for a gay/lesbian couple if they asked you to?"
In which I responded yes, and asked if there's anything else they wanted to ask.
Then when my older brother, an animator, was asked if he would draw a gay/lesbian couple for an invitation, he responded no...because he personally felt uncomfortable with it, and didn't want to support something he felt was morally wrong.
Now, I am happily married to my husband and expecting...and I don't choose *to be a part of the LGBQT Community for myself in anyway....
But is it alright to; out of sheer love for a person, 'make a cake' and support their happiness and have it not be supportive of what I also do not choose for myself moraly? (And forgive the phrase, but is it ok and would it be seen as something supporting the LGBQT community when I personally don't belive that's right?)
What are your opinions? I'd appreciate non-hating opinions towards the church if possible, as I do not wish to impose or force my religon on you if you won't degrade me for my thoughts as well. (We're all friends here right?) ^^
Edit: Also, I have many friends in the LGBT community whom I love to pieces~ XD so I hope none of this post comes across as hateful towards anyone in the LGBT Community. I just need more opinions.
Edit: Sorry if posting anonynously bothered anyone! But for anyone who would still like to pitch me any advise or comments on this please do! ^^ I want to be better with this, so critism is welcomed!
*'....to be a part of the LGBQT Community....' is now replacing the word 'lifestlye' for my now better understanding.