Are you going back to see her?
Did she explain how swallowing works?
Did she suggest some techniques or textures that would help?
It's quite a lot to take onboard.
You can ask for an ENT opinion on your lump in the throat sensation. It is most likely related to muscle tension from stress, but could be Parkinson's, or reflux related too.
Have a look at my website for information on the NICE recommended speech/voice therapy for people with Parkinson's (LSVT). Some NHS trusts can deliver it, but you can look privately too on lsvtglobal.com (for a local LSVT therapist), or helpwithtalking.com for a private speech therapist.
Sorry about the cake!